1020013632 has 336 divisors, whose sum is σ = 3463137600. Its totient is φ = 283668480.

The previous prime is 1020013601. The next prime is 1020013639. The reversal of 1020013632 is 2363100201.

1020013632 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020013639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4454094 + ... + 4454322.

Almost surely, 2^1020013632 is an apocalyptic number.

1020013632 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 1020013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731568800).

1020013632 is an abundant number, since it is smaller than the sum of its proper divisors (2443123968).

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

1020013632 is a wasteful number, since it uses less digits than its factorization.

1020013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1020013632 is about 31937.6522618680. The cubic root of 1020013632 is about 1006.6271939456.

Adding to 1020013632 its reverse (2363100201), we get a palindrome (3383113833).

It can be divided in two parts, 10200 and 13632, that added together give a palindrome (23832).

The spelling of 1020013632 in words is "one billion, twenty million, thirteen thousand, six hundred thirty-two".