89591040 has 432 divisors, whose sum is σ = 390289536. Its totient is φ = 18432000.

The previous prime is 89591039. The next prime is 89591077. The reversal of 89591040 is 4019598.

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 = 89590986 and 89591004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886990 + ... + 887090.

It is an arithmetic number, because the mean of its divisors is an integer number (903448).

Almost surely, 2^89591040 is an apocalyptic number.

89591040 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 89591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195144768).

89591040 is an abundant number, since it is smaller than the sum of its proper divisors (300698496).

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

89591040 is a wasteful number, since it uses less digits than its factorization.

89591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89591040 is about 9465.2543547440. The cubic root of 89591040 is about 447.4606604828.

It can be divided in two parts, 8959 and 1040, that added together give a palindrome (9999).

The spelling of 89591040 in words is "eighty-nine million, five hundred ninety-one thousand, forty".