90573840 has 120 divisors (see below), whose sum is σ = 347650368. Its totient is φ = 20701440.

The previous prime is 90573827. The next prime is 90573853. The reversal of 90573840 is 4837509.

90573840 is a `hidden beast` number, since 9 + 0 + 573 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90573827) and next prime (90573853).

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 junction number, because it is equal to n+sod(n) for n = 90573795 and 90573804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3946 + ... + 14025.

Almost surely, 2^90573840 is an apocalyptic number.

90573840 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 90573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173825184).

90573840 is an abundant number, since it is smaller than the sum of its proper divisors (257076528).

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

90573840 is a wasteful number, since it uses less digits than its factorization.

90573840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17997 (or 17988 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90573840 is about 9517.0289481539. The cubic root of 90573840 is about 449.0909054153.

The spelling of 90573840 in words is "ninety million, five hundred seventy-three thousand, eight hundred forty".