90397440 has 432 divisors, whose sum is σ = 382636800. Its totient is φ = 19243008.

The previous prime is 90397397. The next prime is 90397453. The reversal of 90397440 is 4479309.

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 = 90397395 and 90397404.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1532131 + ... + 1532189.

Almost surely, 2^90397440 is an apocalyptic number.

90397440 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 90397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

90397440 is an abundant number, since it is smaller than the sum of its proper divisors (292239360).

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

90397440 is a wasteful number, since it uses less digits than its factorization.

90397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

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

The square root of 90397440 is about 9507.7568332388. The cubic root of 90397440 is about 448.7991687861.

The spelling of 90397440 in words is "ninety million, three hundred ninety-seven thousand, four hundred forty".