89378964 has 60 divisors (see below), whose sum is σ = 245968800. Its totient is φ = 28222992.

The previous prime is 89378963. The next prime is 89378977. The reversal of 89378964 is 46987398.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 89378964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89378963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1104 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (4099480).

Almost surely, 2^89378964 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 89378964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122984400).

89378964 is an abundant number, since it is smaller than the sum of its proper divisors (156589836).

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

89378964 is a wasteful number, since it uses less digits than its factorization.

89378964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14554 (or 14543 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 89378964 is about 9454.0448486349. The cubic root of 89378964 is about 447.1073117428.

The spelling of 89378964 in words is "eighty-nine million, three hundred seventy-eight thousand, nine hundred sixty-four".