1022533632 has 280 divisors, whose sum is σ = 3235183776. Its totient is φ = 321159168.

The previous prime is 1022533601. The next prime is 1022533639. The reversal of 1022533632 is 2363352201.

1022533632 is a `hidden beast` number, since 1 + 0 + 2 + 25 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×1022533632² = 2091150057142222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1022533596 and 1022533605.

It is not an unprimeable number, because it can be changed into a prime (1022533639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15261663 + ... + 15261729.

Almost surely, 2^1022533632 is an apocalyptic number.

1022533632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617591888).

1022533632 is an abundant number, since it is smaller than the sum of its proper divisors (2212650144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022533632 is an frugal number, since it uses more digits than its factorization.

1022533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1022533632 is about 31977.0797916258. The cubic root of 1022533632 is about 1007.4554882259.

Adding to 1022533632 its reverse (2363352201), we get a palindrome (3385885833).

It can be divided in two parts, 1022533 and 632, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 1022533632 in words is "one billion, twenty-two million, five hundred thirty-three thousand, six hundred thirty-two".