87483968 has 112 divisors (see below), whose sum is σ = 208239360. Its totient is φ = 36241920.

The previous prime is 87483941. The next prime is 87483983. The reversal of 87483968 is 86938478.

It is a happy number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 87483968 = 132³ + 440³ = 341³ + 363³.

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, 1107353 + ... + 1107431.

It is an arithmetic number, because the mean of its divisors is an integer number (1859280).

Almost surely, 2^87483968 is an apocalyptic number.

87483968 is a gapful number since it is divisible by the number (88) 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 87483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104119680).

87483968 is an abundant number, since it is smaller than the sum of its proper divisors (120755392).

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

87483968 is a wasteful number, since it uses less digits than its factorization.

87483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 87483968 is about 9353.2864812321. The cubic root of 87483968 is about 443.9248851638.

Subtracting from 87483968 its reverse (86938478), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 87483968 in words is "eighty-seven million, four hundred eighty-three thousand, nine hundred sixty-eight".