87835720 has 32 divisors (see below), whose sum is σ = 225864000. Its totient is φ = 30115008.

The previous prime is 87835703. The next prime is 87835721. The reversal of 87835720 is 2753878.

It is a super-2 number, since 2×87835720² = 15430227415836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87835721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156570 + ... + 157129.

It is an arithmetic number, because the mean of its divisors is an integer number (7058250).

Almost surely, 2^87835720 is an apocalyptic number.

It is an amenable number.

87835720 is an abundant number, since it is smaller than the sum of its proper divisors (138028280).

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

87835720 is a wasteful number, since it uses less digits than its factorization.

87835720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313717 (or 313713 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 87835720 is about 9372.0712758707. The cubic root of 87835720 is about 444.5190612683.

The spelling of 87835720 in words is "eighty-seven million, eight hundred thirty-five thousand, seven hundred twenty".