89974080 has 168 divisors, whose sum is σ = 353763072. Its totient is φ = 20560896.

The previous prime is 89974057. The next prime is 89974109. The reversal of 89974080 is 8047998.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17929 + ... + 22391.

Almost surely, 2^89974080 is an apocalyptic number.

89974080 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 89974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).

89974080 is an abundant number, since it is smaller than the sum of its proper divisors (263788992).

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

89974080 is a wasteful number, since it uses less digits than its factorization.

89974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89974080 is about 9485.4667781823. The cubic root of 89974080 is about 448.0974490394.

It can be divided in two parts, 89 and 974080, that added together give a square (974169 = 987²).

The spelling of 89974080 in words is "eighty-nine million, nine hundred seventy-four thousand, eighty".