87755640 has 64 divisors (see below), whose sum is σ = 300879360. Its totient is φ = 20058240.

The previous prime is 87755639. The next prime is 87755663. The reversal of 87755640 is 4655778.

It is a super-3 number, since 3×87755640³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87755592 and 87755601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51396 + ... + 53075.

It is an arithmetic number, because the mean of its divisors is an integer number (4701240).

Almost surely, 2^87755640 is an apocalyptic number.

It is an amenable number.

87755640 is an abundant number, since it is smaller than the sum of its proper divisors (213123720).

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

87755640 is a wasteful number, since it uses less digits than its factorization.

87755640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104492 (or 104488 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 87755640 is about 9367.7980336897. The cubic root of 87755640 is about 444.3839305573.

The spelling of 87755640 in words is "eighty-seven million, seven hundred fifty-five thousand, six hundred forty".