90054864 has 60 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 29928000.

The previous prime is 90054859. The next prime is 90054869. The reversal of 90054864 is 46845009.

It is an interprime number because it is at equal distance from previous prime (90054859) and next prime (90054869).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90054869) 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 11 ways as a sum of consecutive naturals, for example, 61339 + ... + 62789.

Almost surely, 2^90054864 is an apocalyptic number.

It is an amenable number.

90054864 is an abundant number, since it is smaller than the sum of its proper divisors (162732528).

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

90054864 is a wasteful number, since it uses less digits than its factorization.

90054864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90054864 is about 9489.7241266541. The cubic root of 90054864 is about 448.2315183026.

The spelling of 90054864 in words is "ninety million, fifty-four thousand, eight hundred sixty-four".