90712632 has 64 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 29328128.

The previous prime is 90712613. The next prime is 90712639. The reversal of 90712632 is 23621709.

It is a self number, because there is not a number n which added to its sum of digits gives 90712632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90712639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154243 + ... + 154829.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^90712632 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 90712632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

90712632 is an abundant number, since it is smaller than the sum of its proper divisors (142982088).

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

90712632 is a wasteful number, since it uses less digits than its factorization.

90712632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 90712632 is about 9524.3179283348. The cubic root of 90712632 is about 449.3201784391.

The spelling of 90712632 in words is "ninety million, seven hundred twelve thousand, six hundred thirty-two".