89661264 has 160 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 21903360.

The previous prime is 89661251. The next prime is 89661283. The reversal of 89661264 is 46216698.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62119 + ... + 63545.

Almost surely, 2^89661264 is an apocalyptic number.

89661264 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 89661264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

89661264 is an abundant number, since it is smaller than the sum of its proper divisors (216319152).

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

89661264 is a wasteful number, since it uses less digits than its factorization.

89661264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 89661264 is about 9468.9631956197. The cubic root of 89661264 is about 447.5775407387.

The spelling of 89661264 in words is "eighty-nine million, six hundred sixty-one thousand, two hundred sixty-four".