89755560 has 128 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 23339520.

The previous prime is 89755543. The next prime is 89755651. The reversal of 89755560 is 6555798.

89755560 is a `hidden beast` number, since 8 + 97 + 5 + 556 + 0 = 666.

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

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, 43267 + ... + 45293.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^89755560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89755560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

89755560 is an abundant number, since it is smaller than the sum of its proper divisors (216878040).

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

89755560 is a wasteful number, since it uses less digits than its factorization.

89755560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 89755560 is about 9473.9411017802. The cubic root of 89755560 is about 447.7343902821.

It can be divided in two parts, 8975 and 5560, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 89755560 in words is "eighty-nine million, seven hundred fifty-five thousand, five hundred sixty".