89288640 has 336 divisors, whose sum is σ = 362638848. Its totient is φ = 19740672.

The previous prime is 89288621. The next prime is 89288669. The reversal of 89288640 is 4688298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×89288640² = 15944922466099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 866829 + ... + 866931.

Almost surely, 2^89288640 is an apocalyptic number.

89288640 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 89288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181319424).

89288640 is an abundant number, since it is smaller than the sum of its proper divisors (273350208).

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

89288640 is a wasteful number, since it uses less digits than its factorization.

89288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 89288640 is about 9449.2666382106. The cubic root of 89288640 is about 446.9566494001.

The spelling of 89288640 in words is "eighty-nine million, two hundred eighty-eight thousand, six hundred forty".