1032221820 has 96 divisors (see below), whose sum is σ = 3309884928. Its totient is φ = 235452672.

The previous prime is 1032221803. The next prime is 1032221833. The reversal of 1032221820 is 281222301.

It is a happy number.

It is a super-2 number, since 2×1032221820² = 2130963771368224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227494 + ... + 231986.

It is an arithmetic number, because the mean of its divisors is an integer number (34477968).

Almost surely, 2^1032221820 is an apocalyptic number.

1032221820 is a gapful number since it is divisible by the number (10) 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 1032221820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654942464).

1032221820 is an abundant number, since it is smaller than the sum of its proper divisors (2277663108).

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

1032221820 is a wasteful number, since it uses less digits than its factorization.

1032221820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1032221820 is about 32128.2091004152. The cubic root of 1032221820 is about 1010.6272677694.

The spelling of 1032221820 in words is "one billion, thirty-two million, two hundred twenty-one thousand, eight hundred twenty".