90493920 has 288 divisors, whose sum is σ = 350269920. Its totient is φ = 21073920.

The previous prime is 90493877. The next prime is 90493943. The reversal of 90493920 is 2939409.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 459262 + ... + 459458.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 2^90493920 is an apocalyptic number.

90493920 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 90493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175134960).

90493920 is an abundant number, since it is smaller than the sum of its proper divisors (259776000).

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

90493920 is a wasteful number, since it uses less digits than its factorization.

90493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 90493920 is about 9512.8292321475. The cubic root of 90493920 is about 448.9587778354.

The spelling of 90493920 in words is "ninety million, four hundred ninety-three thousand, nine hundred twenty".