87953364 has 72 divisors (see below), whose sum is σ = 236291328. Its totient is φ = 28589760.

The previous prime is 87953363. The next prime is 87953377. The reversal of 87953364 is 46335978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87953363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38749 + ... + 40955.

It is an arithmetic number, because the mean of its divisors is an integer number (3281824).

Almost surely, 2^87953364 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 87953364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118145664).

87953364 is an abundant number, since it is smaller than the sum of its proper divisors (148337964).

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

87953364 is a wasteful number, since it uses less digits than its factorization.

87953364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2253 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 87953364 is about 9378.3454830796. The cubic root of 87953364 is about 444.7174303390.

The spelling of 87953364 in words is "eighty-seven million, nine hundred fifty-three thousand, three hundred sixty-four".