90547920 has 120 divisors (see below), whose sum is σ = 320143200. Its totient is φ = 22871808.

The previous prime is 90547913. The next prime is 90547957. The reversal of 90547920 is 2974509.

90547920 is a `hidden beast` number, since 90 + 547 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10371 + ... + 16989.

It is an arithmetic number, because the mean of its divisors is an integer number (2667860).

Almost surely, 2^90547920 is an apocalyptic number.

90547920 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 90547920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160071600).

90547920 is an abundant number, since it is smaller than the sum of its proper divisors (229595280).

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

90547920 is a wasteful number, since it uses less digits than its factorization.

90547920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 90547920 is about 9515.6670811877. The cubic root of 90547920 is about 449.0480617464.

Subtracting from 90547920 its product of nonzero digits (22680), we obtain a triangular number (90525240 = T₁₃₄₅₅).

The spelling of 90547920 in words is "ninety million, five hundred forty-seven thousand, nine hundred twenty".