89252880 has 240 divisors, whose sum is σ = 312688320. Its totient is φ = 20984832.

The previous prime is 89252879. The next prime is 89252887. The reversal of 89252880 is 8825298.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89252887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412222 + ... + 2412258.

It is an arithmetic number, because the mean of its divisors is an integer number (1302868).

Almost surely, 2^89252880 is an apocalyptic number.

89252880 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 89252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156344160).

89252880 is an abundant number, since it is smaller than the sum of its proper divisors (223435440).

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

89252880 is a wasteful number, since it uses less digits than its factorization.

89252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 89252880 is about 9447.3742383797. The cubic root of 89252880 is about 446.8969728873.

The spelling of 89252880 in words is "eighty-nine million, two hundred fifty-two thousand, eight hundred eighty".