87376824 has 48 divisors (see below), whose sum is σ = 239104320. Its totient is φ = 28823040.

The previous prime is 87376813. The next prime is 87376831. The reversal of 87376824 is 42867378.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87376824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (4981340).

Almost surely, 2^87376824 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 87376824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119552160).

87376824 is an abundant number, since it is smaller than the sum of its proper divisors (151727496).

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

87376824 is a wasteful number, since it uses less digits than its factorization.

87376824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12613 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87376824 is about 9347.5571140272. The cubic root of 87376824 is about 443.7435821594.

The spelling of 87376824 in words is "eighty-seven million, three hundred seventy-six thousand, eight hundred twenty-four".