90627264 has 378 divisors, whose sum is σ = 344431620. Its totient is φ = 22643712.

The previous prime is 90627263. The next prime is 90627269. The reversal of 90627264 is 46272609.

It is a happy number.

90627264 is a `hidden beast` number, since 9 + 0 + 627 + 26 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90627263) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 4769847 + ... + 4769865.

Almost surely, 2^90627264 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 90627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172215810).

90627264 is an abundant number, since it is smaller than the sum of its proper divisors (253804356).

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

90627264 is a wasteful number, since it uses less digits than its factorization.

90627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90627264 is about 9519.8352926928. The cubic root of 90627264 is about 449.1791851986.

The spelling of 90627264 in words is "ninety million, six hundred twenty-seven thousand, two hundred sixty-four".