87483264 has 128 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 26142720.

The previous prime is 87483251. The next prime is 87483301. The reversal of 87483264 is 46238478.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 587062 + ... + 587210.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^87483264 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 87483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

87483264 is an abundant number, since it is smaller than the sum of its proper divisors (169556736).

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

87483264 is a wasteful number, since it uses less digits than its factorization.

87483264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 87483264 is about 9353.2488473257. The cubic root of 87483264 is about 443.9236943782.

The spelling of 87483264 in words is "eighty-seven million, four hundred eighty-three thousand, two hundred sixty-four".