87401824 has 48 divisors (see below), whose sum is σ = 187412400. Its totient is φ = 39965184.

The previous prime is 87401819. The next prime is 87401851. The reversal of 87401824 is 42810478.

It is a self number, because there is not a number n which added to its sum of digits gives 87401824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15154 + ... + 20110.

It is an arithmetic number, because the mean of its divisors is an integer number (3904425).

Almost surely, 2^87401824 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 87401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93706200).

87401824 is an abundant number, since it is smaller than the sum of its proper divisors (100010576).

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

87401824 is a wasteful number, since it uses less digits than its factorization.

87401824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 87401824 is about 9348.8942661686. The cubic root of 87401824 is about 443.7858989935.

The spelling of 87401824 in words is "eighty-seven million, four hundred one thousand, eight hundred twenty-four".