87268510 has 48 divisors (see below), whose sum is σ = 183736080. Its totient is φ = 29756160.

The previous prime is 87268499. The next prime is 87268513. The reversal of 87268510 is 1586278.

It is a super-3 number, since 3×87268510³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87268510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87268513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117721 + ... + 118459.

It is an arithmetic number, because the mean of its divisors is an integer number (3827835).

Almost surely, 2^87268510 is an apocalyptic number.

87268510 is an abundant number, since it is smaller than the sum of its proper divisors (96467570).

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

87268510 is a wasteful number, since it uses less digits than its factorization.

87268510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 87268510 is about 9341.7616111738. The cubic root of 87268510 is about 443.5601486353.

It can be divided in two parts, 87268 and 510, that added together give a palindrome (87778).

The spelling of 87268510 in words is "eighty-seven million, two hundred sixty-eight thousand, five hundred ten".