90786240 has 168 divisors, whose sum is σ = 323331840. Its totient is φ = 23353344.

The previous prime is 90786233. The next prime is 90786251. The reversal of 90786240 is 4268709.

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 = 90786195 and 90786204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 82977 + ... + 84063.

Almost surely, 2^90786240 is an apocalyptic number.

90786240 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 90786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

90786240 is an abundant number, since it is smaller than the sum of its proper divisors (232545600).

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

90786240 is a wasteful number, since it uses less digits than its factorization.

90786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90786240 is about 9528.1813584755. The cubic root of 90786240 is about 449.4416779379.

The spelling of 90786240 in words is "ninety million, seven hundred eighty-six thousand, two hundred forty".