86882652 has 48 divisors (see below), whose sum is σ = 228632320. Its totient is φ = 28526256.

The previous prime is 86882647. The next prime is 86882659. The reversal of 86882652 is 25628868.

It is a junction number, because it is equal to n+sod(n) for n = 86882598 and 86882607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86882659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233 + ... + 13239.

Almost surely, 2^86882652 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 86882652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114316160).

86882652 is an abundant number, since it is smaller than the sum of its proper divisors (141749668).

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

86882652 is a wasteful number, since it uses less digits than its factorization.

86882652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12079 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 86882652 is about 9321.0864173657. The cubic root of 86882652 is about 442.9054485537.

The spelling of 86882652 in words is "eighty-six million, eight hundred eighty-two thousand, six hundred fifty-two".