87424160 has 96 divisors (see below), whose sum is σ = 215151552. Its totient is φ = 33546240.

The previous prime is 87424153. The next prime is 87424231. The reversal of 87424160 is 6142478.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 667295 + ... + 667425.

It is an arithmetic number, because the mean of its divisors is an integer number (2241162).

Almost surely, 2^87424160 is an apocalyptic number.

87424160 is a gapful number since it is divisible by the number (80) 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 87424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575776).

87424160 is an abundant number, since it is smaller than the sum of its proper divisors (127727392).

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

87424160 is a wasteful number, since it uses less digits than its factorization.

87424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 87424160 is about 9350.0887696321. The cubic root of 87424160 is about 443.8236997209.

The spelling of 87424160 in words is "eighty-seven million, four hundred twenty-four thousand, one hundred sixty".