90392040 has 96 divisors (see below), whose sum is σ = 295219080. Its totient is φ = 23986176.

The previous prime is 90392033. The next prime is 90392051. The reversal of 90392040 is 4029309.

It can be written as a sum of positive squares in 4 ways, for example, as 88849476 + 1542564 = 9426^2 + 1242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90391995 and 90392013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92032 + ... + 93008.

Almost surely, 2^90392040 is an apocalyptic number.

90392040 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 90392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609540).

90392040 is an abundant number, since it is smaller than the sum of its proper divisors (204827040).

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

90392040 is a wasteful number, since it uses less digits than its factorization.

90392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90392040 is about 9507.4728503425. The cubic root of 90392040 is about 448.7902320884.

It can be divided in two parts, 90 and 392040, that multiplied together give a square (35283600 = 5940²).

The spelling of 90392040 in words is "ninety million, three hundred ninety-two thousand, forty".