87362920 has 32 divisors (see below), whose sum is σ = 201882600. Its totient is φ = 34000128.

The previous prime is 87362917. The next prime is 87362927. The reversal of 87362920 is 2926378.

It can be written as a sum of positive squares in 4 ways, for example, as 72012196 + 15350724 = 8486^2 + 3918^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 87362920.

It is not an unprimeable number, because it can be changed into a prime (87362927) 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, 28035 + ... + 30994.

Almost surely, 2^87362920 is an apocalyptic number.

It is an amenable number.

87362920 is an abundant number, since it is smaller than the sum of its proper divisors (114519680).

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

87362920 is a wasteful number, since it uses less digits than its factorization.

87362920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59077 (or 59073 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 87362920 is about 9346.8133607128. The cubic root of 87362920 is about 443.7200437359.

The spelling of 87362920 in words is "eighty-seven million, three hundred sixty-two thousand, nine hundred twenty".