89148864 has 112 divisors (see below), whose sum is σ = 272418048. Its totient is φ = 25202688.

The previous prime is 89148863. The next prime is 89148881. The reversal of 89148864 is 46884198.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89148863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151579 + ... + 152165.

It is an arithmetic number, because the mean of its divisors is an integer number (2432304).

Almost surely, 2^89148864 is an apocalyptic number.

89148864 is a gapful number since it is divisible by the number (84) 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 89148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209024).

89148864 is an abundant number, since it is smaller than the sum of its proper divisors (183269184).

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

89148864 is a wasteful number, since it uses less digits than its factorization.

89148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 89148864 is about 9441.8676118658. The cubic root of 89148864 is about 446.7232996680.

The spelling of 89148864 in words is "eighty-nine million, one hundred forty-eight thousand, eight hundred sixty-four".