86061456 has 120 divisors (see below), whose sum is σ = 267927296. Its totient is φ = 25608960.

The previous prime is 86061449. The next prime is 86061457. The reversal of 86061456 is 65416068.

86061456 is a `hidden beast` number, since 8 + 606 + 1 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86061456.

It is not an unprimeable number, because it can be changed into a prime (86061457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57291 + ... + 58773.

Almost surely, 2^86061456 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 86061456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133963648).

86061456 is an abundant number, since it is smaller than the sum of its proper divisors (181865840).

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

86061456 is a wasteful number, since it uses less digits than its factorization.

86061456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86061456 is about 9276.9313892041. The cubic root of 86061456 is about 441.5056134916.

The spelling of 86061456 in words is "eighty-six million, sixty-one thousand, four hundred fifty-six".