89201952 has 240 divisors, whose sum is σ = 310574880. Its totient is φ = 24893568.

The previous prime is 89201929. The next prime is 89201971. The reversal of 89201952 is 25910298.

It is a super-2 number, since 2×89201952² = 15913976481220608, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 2074443 + ... + 2074485.

It is an arithmetic number, because the mean of its divisors is an integer number (1294062).

Almost surely, 2^89201952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155287440).

89201952 is an abundant number, since it is smaller than the sum of its proper divisors (221372928).

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

89201952 is an equidigital number, since it uses as much as digits as its factorization.

89201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89201952 is about 9444.6785016749. The cubic root of 89201952 is about 446.8119563990.

The spelling of 89201952 in words is "eighty-nine million, two hundred one thousand, nine hundred fifty-two".