86219640 has 320 divisors, whose sum is σ = 329313600. Its totient is φ = 20072448.

The previous prime is 86219633. The next prime is 86219669. The reversal of 86219640 is 4691268.

86219640 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 9 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 86219595 and 86219604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 968716 + ... + 968804.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 2^86219640 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 86219640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

86219640 is an abundant number, since it is smaller than the sum of its proper divisors (243093960).

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

86219640 is a wasteful number, since it uses less digits than its factorization.

86219640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86219640 is about 9285.4531391850. The cubic root of 86219640 is about 441.7759489082.

It can be divided in two parts, 862 and 19640, that added together give a palindrome (20502).

The spelling of 86219640 in words is "eighty-six million, two hundred nineteen thousand, six hundred forty".