87874080 has 96 divisors (see below), whose sum is σ = 316358784. Its totient is φ = 20084736.

The previous prime is 87874079. The next prime is 87874081. The reversal of 87874080 is 8047878.

It is an interprime number because it is at equal distance from previous prime (87874079) and next prime (87874081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87874081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9717 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (3295404).

Almost surely, 2^87874080 is an apocalyptic number.

87874080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87874080 is an abundant number, since it is smaller than the sum of its proper divisors (228484704).

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

87874080 is a wasteful number, since it uses less digits than its factorization.

87874080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26178 (or 26170 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 87874080 is about 9374.1175584692. The cubic root of 87874080 is about 444.5837626202.

The spelling of 87874080 in words is "eighty-seven million, eight hundred seventy-four thousand, eighty".