900058632 has 128 divisors (see below), whose sum is σ = 2576655360. Its totient is φ = 259339520.

The previous prime is 900058631. The next prime is 900058639. The reversal of 900058632 is 236850009.

It is a happy number.

It is a super-2 number, since 2×900058632² = 1620211082075422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 900058593 and 900058602.

It is not an unprimeable number, because it can be changed into a prime (900058631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378018 + ... + 1378670.

It is an arithmetic number, because the mean of its divisors is an integer number (20130120).

Almost surely, 2^900058632 is an apocalyptic number.

900058632 is a gapful number since it is divisible by the number (92) 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 900058632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288327680).

900058632 is an abundant number, since it is smaller than the sum of its proper divisors (1676596728).

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

900058632 is a wasteful number, since it uses less digits than its factorization.

900058632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 900058632 is about 30000.9771840852. The cubic root of 900058632 is about 965.5103502887.

The spelling of 900058632 in words is "nine hundred million, fifty-eight thousand, six hundred thirty-two".