87874100 has 36 divisors (see below), whose sum is σ = 191175264. Its totient is φ = 35059680.

The previous prime is 87874081. The next prime is 87874103. The reversal of 87874100 is 147878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87874103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49427 + ... + 51173.

It is an arithmetic number, because the mean of its divisors is an integer number (5310424).

Almost surely, 2^87874100 is an apocalyptic number.

It is an amenable number.

87874100 is an abundant number, since it is smaller than the sum of its proper divisors (103301164).

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

87874100 is a wasteful number, since it uses less digits than its factorization.

87874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 87874100 is about 9374.1186252362. The cubic root of 87874100 is about 444.5837963491.

The spelling of 87874100 in words is "eighty-seven million, eight hundred seventy-four thousand, one hundred".