87952720 has 20 divisors (see below), whose sum is σ = 204490260. Its totient is φ = 35181056.

The previous prime is 87952699. The next prime is 87952727. The reversal of 87952720 is 2725978.

It can be written as a sum of positive squares in 2 ways, for example, as 28601104 + 59351616 = 5348^2 + 7704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87952727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 549625 + ... + 549784.

It is an arithmetic number, because the mean of its divisors is an integer number (10224513).

Almost surely, 2^87952720 is an apocalyptic number.

87952720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87952720 is an abundant number, since it is smaller than the sum of its proper divisors (116537540).

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

87952720 is a wasteful number, since it uses less digits than its factorization.

87952720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099422 (or 1099416 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 87952720 is about 9378.3111486024. The cubic root of 87952720 is about 444.7163449202.

The spelling of 87952720 in words is "eighty-seven million, nine hundred fifty-two thousand, seven hundred twenty".