87965472 has 96 divisors (see below), whose sum is σ = 265531392. Its totient is φ = 24977664.

The previous prime is 87965467. The next prime is 87965489. The reversal of 87965472 is 27456978.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149563 + ... + 150149.

It is an arithmetic number, because the mean of its divisors is an integer number (2765952).

Almost surely, 2^87965472 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 87965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765696).

87965472 is an abundant number, since it is smaller than the sum of its proper divisors (177565920).

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

87965472 is a wasteful number, since it uses less digits than its factorization.

87965472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 87965472 is about 9378.9909905064. The cubic root of 87965472 is about 444.7378365761.

The spelling of 87965472 in words is "eighty-seven million, nine hundred sixty-five thousand, four hundred seventy-two".