90007632 has 320 divisors, whose sum is σ = 319979520. Its totient is φ = 23846400.

The previous prime is 90007609. The next prime is 90007633. The reversal of 90007632 is 23670009.

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 = 90007596 and 90007605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90007633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1915033 + ... + 1915079.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^90007632 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 90007632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

90007632 is an abundant number, since it is smaller than the sum of its proper divisors (229971888).

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

90007632 is a wasteful number, since it uses less digits than its factorization.

90007632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

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

The square root of 90007632 is about 9487.2352136963. The cubic root of 90007632 is about 448.1531417351.

The spelling of 90007632 in words is "ninety million, seven thousand, six hundred thirty-two".