87917760 has 336 divisors, whose sum is σ = 356616000. Its totient is φ = 19869696.

The previous prime is 87917759. The next prime is 87917779. The reversal of 87917760 is 6771978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987796 + ... + 987884.

Almost surely, 2^87917760 is an apocalyptic number.

87917760 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 87917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308000).

87917760 is an abundant number, since it is smaller than the sum of its proper divisors (268698240).

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

87917760 is a wasteful number, since it uses less digits than its factorization.

87917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 87917760 is about 9376.4470883166. The cubic root of 87917760 is about 444.6574142287.

The spelling of 87917760 in words is "eighty-seven million, nine hundred seventeen thousand, seven hundred sixty".