90091440 has 100 divisors (see below), whose sum is σ = 312923424. Its totient is φ = 24022656.

The previous prime is 90091427. The next prime is 90091459. The reversal of 90091440 is 4419009.

It is a super-2 number, since 2×90091440² = 16232935122547200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 472 + ... + 13431.

Almost surely, 2^90091440 is an apocalyptic number.

90091440 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 90091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156461712).

90091440 is an abundant number, since it is smaller than the sum of its proper divisors (222831984).

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

90091440 is a wasteful number, since it uses less digits than its factorization.

90091440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13913 counting only the distinct ones).

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

The square root of 90091440 is about 9491.6510681757. The cubic root of 90091440 is about 448.2921935259.

The spelling of 90091440 in words is "ninety million, ninety-one thousand, four hundred forty".