86153340 has 192 divisors, whose sum is σ = 307077120. Its totient is φ = 17556480.

The previous prime is 86153231. The next prime is 86153351. The reversal of 86153340 is 4335168.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86153298 and 86153307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169006 + ... + 169514.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 2^86153340 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 86153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

86153340 is an abundant number, since it is smaller than the sum of its proper divisors (220923780).

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

86153340 is a wasteful number, since it uses less digits than its factorization.

86153340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 86153340 is about 9281.8823521956. The cubic root of 86153340 is about 441.6626829276.

The spelling of 86153340 in words is "eighty-six million, one hundred fifty-three thousand, three hundred forty".