89059200 has 96 divisors (see below), whose sum is σ = 293370360. Its totient is φ = 23746560.

The previous prime is 89059193. The next prime is 89059211. The reversal of 89059200 is 295098.

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

It is a super-2 number, since 2×89059200² = 15863082209280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4962 + ... + 14238.

Almost surely, 2^89059200 is an apocalyptic number.

89059200 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 89059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146685180).

89059200 is an abundant number, since it is smaller than the sum of its proper divisors (204311160).

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

89059200 is a wasteful number, since it uses less digits than its factorization.

89059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 89059200 is about 9437.1182041977. The cubic root of 89059200 is about 446.5734812165.

The spelling of 89059200 in words is "eighty-nine million, fifty-nine thousand, two hundred".