90356864 has 48 divisors (see below), whose sum is σ = 194966370. Its totient is φ = 41693184.

The previous prime is 90356863. The next prime is 90356869. The reversal of 90356864 is 46865309.

It can be written as a sum of positive squares in 3 ways, for example, as 67240000 + 23116864 = 8200^2 + 4808^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90356863) 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 5 ways as a sum of consecutive naturals, for example, 19544 + ... + 23720.

Almost surely, 2^90356864 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 90356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97483185).

90356864 is an abundant number, since it is smaller than the sum of its proper divisors (104609506).

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

90356864 is a wasteful number, since it uses less digits than its factorization.

90356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 90356864 is about 9505.6227570844. The cubic root of 90356864 is about 448.7320090655.

The spelling of 90356864 in words is "ninety million, three hundred fifty-six thousand, eight hundred sixty-four".