7900632 has 64 divisors (see below), whose sum is σ = 22272000. Its totient is φ = 2594592.

The previous prime is 7900609. The next prime is 7900663. The reversal of 7900632 is 2360097.

7900632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 7900596 and 7900605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16833 + ... + 17295.

It is an arithmetic number, because the mean of its divisors is an integer number (348000).

Almost surely, 2^7900632 is an apocalyptic number.

7900632 is a gapful number since it is divisible by the number (72) 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 7900632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136000).

7900632 is an abundant number, since it is smaller than the sum of its proper divisors (14371368).

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

7900632 is a wasteful number, since it uses less digits than its factorization.

7900632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7900632 is about 2810.8062900172. The cubic root of 7900632 is about 199.1684810052.

The spelling of 7900632 in words is "seven million, nine hundred thousand, six hundred thirty-two".