87652260 has 192 divisors, whose sum is σ = 289578240. Its totient is φ = 21980160.

The previous prime is 87652249. The next prime is 87652261. The reversal of 87652260 is 6225678.

87652260 is a `hidden beast` number, since 8 + 76 + 522 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87652261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819127 + ... + 819233.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^87652260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87652260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

87652260 is an abundant number, since it is smaller than the sum of its proper divisors (201925980).

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

87652260 is a wasteful number, since it uses less digits than its factorization.

87652260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87652260 is about 9362.2785688101. The cubic root of 87652260 is about 444.2093607234.

It can be divided in two parts, 8765 and 2260, that added together give a square (11025 = 105²).

The spelling of 87652260 in words is "eighty-seven million, six hundred fifty-two thousand, two hundred sixty".