87617760 has 48 divisors (see below), whose sum is σ = 275997456. Its totient is φ = 23364608.

The previous prime is 87617737. The next prime is 87617791. The reversal of 87617760 is 6771678.

It is a tau number, because it is divible by the number of its divisors (48).

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, 90789 + ... + 91748.

It is an arithmetic number, because the mean of its divisors is an integer number (5749947).

Almost surely, 2^87617760 is an apocalyptic number.

87617760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87617760 is an abundant number, since it is smaller than the sum of its proper divisors (188379696).

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

87617760 is a wasteful number, since it uses less digits than its factorization.

87617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182555 (or 182547 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 87617760 is about 9360.4358872864. The cubic root of 87617760 is about 444.1510726882.

The spelling of 87617760 in words is "eighty-seven million, six hundred seventeen thousand, seven hundred sixty".