87649152 has 128 divisors (see below), whose sum is σ = 248064000. Its totient is φ = 27371520.

The previous prime is 87649151. The next prime is 87649181. The reversal of 87649152 is 25194678.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87649151) 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, 440349 + ... + 440547.

It is an arithmetic number, because the mean of its divisors is an integer number (1938000).

Almost surely, 2^87649152 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 87649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124032000).

87649152 is an abundant number, since it is smaller than the sum of its proper divisors (160414848).

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

87649152 is a wasteful number, since it uses less digits than its factorization.

87649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 87649152 is about 9362.1125821045. The cubic root of 87649152 is about 444.2041103587.

The spelling of 87649152 in words is "eighty-seven million, six hundred forty-nine thousand, one hundred fifty-two".