89761600 has 42 divisors (see below), whose sum is σ = 220873574. Its totient is φ = 35904000.

The previous prime is 89761589. The next prime is 89761627. The reversal of 89761600 is 616798.

It can be written as a sum of positive squares in 3 ways, for example, as 9193024 + 80568576 = 3032^2 + 8976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89761600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26451 + ... + 29650.

Almost surely, 2^89761600 is an apocalyptic number.

89761600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89761600 is an abundant number, since it is smaller than the sum of its proper divisors (131111974).

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

89761600 is a wasteful number, since it uses less digits than its factorization.

89761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56123 (or 56108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 89761600 is about 9474.2598655515. The cubic root of 89761600 is about 447.7444333184.

The spelling of 89761600 in words is "eighty-nine million, seven hundred sixty-one thousand, six hundred".