89466720 has 96 divisors (see below), whose sum is σ = 322092288. Its totient is φ = 20448768.

The previous prime is 89466719. The next prime is 89466739. The reversal of 89466720 is 2766498.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9954 + ... + 16673.

It is an arithmetic number, because the mean of its divisors is an integer number (3355128).

Almost surely, 2^89466720 is an apocalyptic number.

89466720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89466720 is an abundant number, since it is smaller than the sum of its proper divisors (232625568).

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

89466720 is a wasteful number, since it uses less digits than its factorization.

89466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26652 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 89466720 is about 9458.6848980183. The cubic root of 89466720 is about 447.2535934225.

The spelling of 89466720 in words is "eighty-nine million, four hundred sixty-six thousand, seven hundred twenty".