1020413632 has 84 divisors (see below), whose sum is σ = 2378272104. Its totient is φ = 433090560.

The previous prime is 1020413623. The next prime is 1020413651. The reversal of 1020413632 is 2363140201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334032 + ... + 337072.

Almost surely, 2^1020413632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189136052).

1020413632 is an abundant number, since it is smaller than the sum of its proper divisors (1357858472).

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

1020413632 is a wasteful number, since it uses less digits than its factorization.

1020413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1020413632 is about 31943.9138491200. The cubic root of 1020413632 is about 1006.7587602447.

Adding to 1020413632 its reverse (2363140201), we get a palindrome (3383553833).

The spelling of 1020413632 in words is "one billion, twenty million, four hundred thirteen thousand, six hundred thirty-two".