87367488 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 24084480.

The previous prime is 87367463. The next prime is 87367493. The reversal of 87367488 is 88476378.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 87367488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230493 + ... + 1230563.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^87367488 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 87367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

87367488 is an abundant number, since it is smaller than the sum of its proper divisors (189147072).

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

87367488 is a wasteful number, since it uses less digits than its factorization.

87367488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 87367488 is about 9347.0577188760. The cubic root of 87367488 is about 443.7277772909.

The spelling of 87367488 in words is "eighty-seven million, three hundred sixty-seven thousand, four hundred eighty-eight".