90937440 has 144 divisors (see below), whose sum is σ = 338594256. Its totient is φ = 22041600.

The previous prime is 90937421. The next prime is 90937447. The reversal of 90937440 is 4473909.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 90937395 and 90937404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90937447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12970 + ... + 18710.

It is an arithmetic number, because the mean of its divisors is an integer number (2351349).

Almost surely, 2^90937440 is an apocalyptic number.

90937440 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 90937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169297128).

90937440 is an abundant number, since it is smaller than the sum of its proper divisors (247656816).

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

90937440 is a wasteful number, since it uses less digits than its factorization.

90937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90937440 is about 9536.1124154448. The cubic root of 90937440 is about 449.6910471926.

The spelling of 90937440 in words is "ninety million, nine hundred thirty-seven thousand, four hundred forty".