90632640 has 112 divisors (see below), whose sum is σ = 328891392. Its totient is φ = 20714496.

The previous prime is 90632621. The next prime is 90632651. The reversal of 90632640 is 4623609.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90632598 and 90632607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24 + ... + 13463.

Almost surely, 2^90632640 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 90632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164445696).

90632640 is an abundant number, since it is smaller than the sum of its proper divisors (238258752).

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

90632640 is a wasteful number, since it uses less digits than its factorization.

90632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 90632640 is about 9520.1176463319. The cubic root of 90632640 is about 449.1880667774.

The spelling of 90632640 in words is "ninety million, six hundred thirty-two thousand, six hundred forty".