90914400 has 360 divisors, whose sum is σ = 351633744. Its totient is φ = 22809600.

The previous prime is 90914399. The next prime is 90914401. The reversal of 90914400 is 441909.

It is an interprime number because it is at equal distance from previous prime (90914399) and next prime (90914401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90914401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490370 + ... + 1490430.

Almost surely, 2^90914400 is an apocalyptic number.

90914400 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 90914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816872).

90914400 is an abundant number, since it is smaller than the sum of its proper divisors (260719344).

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

90914400 is a wasteful number, since it uses less digits than its factorization.

90914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90914400 is about 9534.9042994673. The cubic root of 90914400 is about 449.6530659282.

The spelling of 90914400 in words is "ninety million, nine hundred fourteen thousand, four hundred".