89700480 has 256 divisors, whose sum is σ = 330480000. Its totient is φ = 22966272.

The previous prime is 89700467. The next prime is 89700491. The reversal of 89700480 is 8400798.

It is a super-2 number, since 2×89700480² = 16092352224460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 501031 + ... + 501209.

Almost surely, 2^89700480 is an apocalyptic number.

89700480 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 89700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

89700480 is an abundant number, since it is smaller than the sum of its proper divisors (240779520).

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

89700480 is a wasteful number, since it uses less digits than its factorization.

89700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 89700480 is about 9471.0337344980. The cubic root of 89700480 is about 447.6427849764.

It can be divided in two parts, 89 and 700480, that added together give a square (700569 = 837²).

The spelling of 89700480 in words is "eighty-nine million, seven hundred thousand, four hundred eighty".