86514000 has 80 divisors (see below), whose sum is σ = 278940480. Its totient is φ = 23068800.

The previous prime is 86513983. The next prime is 86514053. The reversal of 86514000 is 41568.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210 + ... + 13209.

It is an arithmetic number, because the mean of its divisors is an integer number (3486756).

Almost surely, 2^86514000 is an apocalyptic number.

86514000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139470240).

86514000 is an abundant number, since it is smaller than the sum of its proper divisors (192426480).

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

86514000 is a wasteful number, since it uses less digits than its factorization.

86514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 86514000 is about 9301.2902330806. The cubic root of 86514000 is about 442.2781293798.

Adding to 86514000 its reverse (41568), we get a palindrome (86555568).

The spelling of 86514000 in words is "eighty-six million, five hundred fourteen thousand".