87767240 has 64 divisors (see below), whose sum is σ = 217019520. Its totient is φ = 31680000.

The previous prime is 87767233. The next prime is 87767263. The reversal of 87767240 is 4276778.

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 15 ways as a sum of consecutive naturals, for example, 65780 + ... + 67100.

It is an arithmetic number, because the mean of its divisors is an integer number (3390930).

Almost surely, 2^87767240 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 87767240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108509760).

87767240 is an abundant number, since it is smaller than the sum of its proper divisors (129252280).

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

87767240 is a wasteful number, since it uses less digits than its factorization.

87767240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 87767240 is about 9368.4171555285. The cubic root of 87767240 is about 444.4035100263.

The spelling of 87767240 in words is "eighty-seven million, seven hundred sixty-seven thousand, two hundred forty".