90739440 has 400 divisors, whose sum is σ = 367297920. Its totient is φ = 20528640.

The previous prime is 90739433. The next prime is 90739447. The reversal of 90739440 is 4493709.

It is an interprime number because it is at equal distance from previous prime (90739433) and next prime (90739447).

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 = 90739395 and 90739404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90739447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354287 + ... + 1354353.

Almost surely, 2^90739440 is an apocalyptic number.

90739440 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 90739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

90739440 is an abundant number, since it is smaller than the sum of its proper divisors (276558480).

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

90739440 is a wasteful number, since it uses less digits than its factorization.

90739440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

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

The square root of 90739440 is about 9525.7251692456. The cubic root of 90739440 is about 449.3644361082.

The spelling of 90739440 in words is "ninety million, seven hundred thirty-nine thousand, four hundred forty".