89054640 has 160 divisors (see below), whose sum is σ = 311140800. Its totient is φ = 23701248.

The previous prime is 89054627. The next prime is 89054663. The reversal of 89054640 is 4645098.

89054640 is a `hidden beast` number, since 8 + 9 + 0 + 5 + 4 + 640 = 666.

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 = 89054595 and 89054604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174706 + ... + 175214.

It is an arithmetic number, because the mean of its divisors is an integer number (1944630).

Almost surely, 2^89054640 is an apocalyptic number.

89054640 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 89054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155570400).

89054640 is an abundant number, since it is smaller than the sum of its proper divisors (222086160).

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

89054640 is an equidigital number, since it uses as much as digits as its factorization.

89054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 519 counting only the distinct ones).

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

The square root of 89054640 is about 9436.8766019271. The cubic root of 89054640 is about 446.5658592833.

The spelling of 89054640 in words is "eighty-nine million, fifty-four thousand, six hundred forty".