89059464 has 192 divisors, whose sum is σ = 285994800. Its totient is φ = 24772608.

The previous prime is 89059463. The next prime is 89059469. The reversal of 89059464 is 46495098.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29615364 + 59444100 = 5442^2 + 7710^2 .

It is not an unprimeable number, because it can be changed into a prime (89059463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461352 + ... + 461544.

Almost surely, 2^89059464 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 89059464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142997400).

89059464 is an abundant number, since it is smaller than the sum of its proper divisors (196935336).

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

89059464 is a wasteful number, since it uses less digits than its factorization.

89059464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 89059464 is about 9437.1321915082. The cubic root of 89059464 is about 446.5739224784.

The spelling of 89059464 in words is "eighty-nine million, fifty-nine thousand, four hundred sixty-four".