90768492 has 96 divisors (see below), whose sum is σ = 247396800. Its totient is φ = 28740096.

The previous prime is 90768487. The next prime is 90768497. The reversal of 90768492 is 29486709.

It is a happy number.

90768492 is a `hidden beast` number, since 90 + 76 + 8 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (90768487) and next prime (90768497).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90768497) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 228438 + ... + 228834.

It is an arithmetic number, because the mean of its divisors is an integer number (2577050).

Almost surely, 2^90768492 is an apocalyptic number.

90768492 is the 4764-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90768492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123698400).

90768492 is an abundant number, since it is smaller than the sum of its proper divisors (156628308).

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

90768492 is a wasteful number, since it uses less digits than its factorization.

90768492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 90768492 is about 9527.2499704794. The cubic root of 90768492 is about 449.4123885847.

The spelling of 90768492 in words is "ninety million, seven hundred sixty-eight thousand, four hundred ninety-two".