87057768 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 23649024.

The previous prime is 87057767. The next prime is 87057769. The reversal of 87057768 is 86775078.

It is an interprime number because it is at equal distance from previous prime (87057767) and next prime (87057769).

It is not an unprimeable number, because it can be changed into a prime (87057767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 521221 + ... + 521387.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^87057768 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 87057768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

87057768 is an abundant number, since it is smaller than the sum of its proper divisors (174215832).

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

87057768 is a wasteful number, since it uses less digits than its factorization.

87057768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 87057768 is about 9330.4752290545. The cubic root of 87057768 is about 443.2028143244.

The spelling of 87057768 in words is "eighty-seven million, fifty-seven thousand, seven hundred sixty-eight".