86652540 has 144 divisors (see below), whose sum is σ = 298116000. Its totient is φ = 20196864.

The previous prime is 86652499. The next prime is 86652541. The reversal of 86652540 is 4525668.

86652540 is a `hidden beast` number, since 8 + 66 + 52 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86652495 and 86652504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86652541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43486 + ... + 45434.

It is an arithmetic number, because the mean of its divisors is an integer number (2070250).

Almost surely, 2^86652540 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 86652540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149058000).

86652540 is an abundant number, since it is smaller than the sum of its proper divisors (211463460).

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

86652540 is a wasteful number, since it uses less digits than its factorization.

86652540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 86652540 is about 9308.7346078831. The cubic root of 86652540 is about 442.5140855422.

The spelling of 86652540 in words is "eighty-six million, six hundred fifty-two thousand, five hundred forty".