90944640 has 256 divisors, whose sum is σ = 340272000. Its totient is φ = 22892544.

The previous prime is 90944629. The next prime is 90944647. The reversal of 90944640 is 4644909.

90944640 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 4 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90944595 and 90944604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90944647) 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, 328182 + ... + 328458.

Almost surely, 2^90944640 is an apocalyptic number.

90944640 is a gapful number since it is divisible by the number (90) 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 90944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170136000).

90944640 is an abundant number, since it is smaller than the sum of its proper divisors (249327360).

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

90944640 is a wasteful number, since it uses less digits than its factorization.

90944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90944640 is about 9536.4899203009. The cubic root of 90944640 is about 449.7029150221.

The spelling of 90944640 in words is "ninety million, nine hundred forty-four thousand, six hundred forty".