90427920 has 80 divisors (see below), whose sum is σ = 305819712. Its totient is φ = 21921280.

The previous prime is 90427907. The next prime is 90427933. The reversal of 90427920 is 2972409.

It is an interprime number because it is at equal distance from previous prime (90427907) and next prime (90427933).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 14487 + ... + 19766.

Almost surely, 2^90427920 is an apocalyptic number.

It is an amenable number.

90427920 is an abundant number, since it is smaller than the sum of its proper divisors (215391792).

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

90427920 is a wasteful number, since it uses less digits than its factorization.

90427920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34280 (or 34274 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90427920 is about 9509.3595998889. The cubic root of 90427920 is about 448.8496048068.

The spelling of 90427920 in words is "ninety million, four hundred twenty-seven thousand, nine hundred twenty".