90457920 has 252 divisors, whose sum is σ = 362500164. Its totient is φ = 20643840.

The previous prime is 90457889. The next prime is 90457921. The reversal of 90457920 is 2975409.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 30735936 = 7728^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90457921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140800 + ... + 141440.

Almost surely, 2^90457920 is an apocalyptic number.

90457920 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 90457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181250082).

90457920 is an abundant number, since it is smaller than the sum of its proper divisors (272042244).

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

90457920 is a wasteful number, since it uses less digits than its factorization.

90457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

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

The square root of 90457920 is about 9510.9368623706. The cubic root of 90457920 is about 448.8992354937.

The spelling of 90457920 in words is "ninety million, four hundred fifty-seven thousand, nine hundred twenty".