87487680 has 224 divisors, whose sum is σ = 325380096. Its totient is φ = 19501056.

The previous prime is 87487663. The next prime is 87487703. The reversal of 87487680 is 8678478.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 315702 + ... + 315978.

Almost surely, 2^87487680 is an apocalyptic number.

87487680 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 87487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162690048).

87487680 is an abundant number, since it is smaller than the sum of its proper divisors (237892416).

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

87487680 is a wasteful number, since it uses less digits than its factorization.

87487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 87487680 is about 9353.4849120528. The cubic root of 87487680 is about 443.9311637461.

The spelling of 87487680 in words is "eighty-seven million, four hundred eighty-seven thousand, six hundred eighty".