90053964 has 384 divisors, whose sum is σ = 338688000. Its totient is φ = 20321280.

The previous prime is 90053959. The next prime is 90053969. The reversal of 90053964 is 46935009.

It is an interprime number because it is at equal distance from previous prime (90053959) and next prime (90053969).

It is a super-2 number, since 2×90053964² = 16219432864226592, which contains 22 as substring.

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 (90053969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5297284 + ... + 5297300.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^90053964 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 90053964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

90053964 is an abundant number, since it is smaller than the sum of its proper divisors (248634036).

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

90053964 is a wasteful number, since it uses less digits than its factorization.

90053964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90053964 is about 9489.6767068220. The cubic root of 90053964 is about 448.2300251028.

The spelling of 90053964 in words is "ninety million, fifty-three thousand, nine hundred sixty-four".