89202960 has 240 divisors, whose sum is σ = 373726080. Its totient is φ = 18524160.

The previous prime is 89202959. The next prime is 89202973. The reversal of 89202960 is 6920298.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54636 + ... + 56244.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 2^89202960 is an apocalyptic number.

89202960 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 89202960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

89202960 is an abundant number, since it is smaller than the sum of its proper divisors (284523120).

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

89202960 is a wasteful number, since it uses less digits than its factorization.

89202960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89202960 is about 9444.7318649075. The cubic root of 89202960 is about 446.8136394143.

The spelling of 89202960 in words is "eighty-nine million, two hundred two thousand, nine hundred sixty".