89504640 has 192 divisors, whose sum is σ = 317444400. Its totient is φ = 23224320.

The previous prime is 89504617. The next prime is 89504669. The reversal of 89504640 is 4640598.

89504640 is a `hidden beast` number, since 8 + 9 + 5 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×89504640² = 16022161163059200, which contains 22 as substring.

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 = 89504595 and 89504604.

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, 235971 + ... + 236349.

Almost surely, 2^89504640 is an apocalyptic number.

89504640 is a gapful number since it is divisible by the number (80) 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 89504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158722200).

89504640 is an abundant number, since it is smaller than the sum of its proper divisors (227939760).

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

89504640 is a wasteful number, since it uses less digits than its factorization.

89504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89504640 is about 9460.6891926540. The cubic root of 89504640 is about 447.3167731938.

The spelling of 89504640 in words is "eighty-nine million, five hundred four thousand, six hundred forty".