87759560 has 128 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 28449792.

The previous prime is 87759547. The next prime is 87759563. The reversal of 87759560 is 6595778.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87759563) by changing a digit.

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, 445382 + ... + 445578.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 2^87759560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87759560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160).

87759560 is an abundant number, since it is smaller than the sum of its proper divisors (150600760).

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

87759560 is a wasteful number, since it uses less digits than its factorization.

87759560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 47.

The square root of 87759560 is about 9368.0072587504. The cubic root of 87759560 is about 444.3905472605.

The spelling of 87759560 in words is "eighty-seven million, seven hundred fifty-nine thousand, five hundred sixty".