86913000 has 320 divisors, whose sum is σ = 322779600. Its totient is φ = 21772800.

The previous prime is 86912957. The next prime is 86913007. The reversal of 86913000 is 31968.

It can be written as a sum of positive squares in 8 ways, for example, as 14424804 + 72488196 = 3798^2 + 8514^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86913007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2348982 + ... + 2349018.

Almost surely, 2^86913000 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 86913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161389800).

86913000 is an abundant number, since it is smaller than the sum of its proper divisors (235866600).

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

86913000 is a wasteful number, since it uses less digits than its factorization.

86913000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 86913000 is about 9322.7141970566. The cubic root of 86913000 is about 442.9570113207.

Adding to 86913000 its reverse (31968), we get a palindrome (86944968).

The spelling of 86913000 in words is "eighty-six million, nine hundred thirteen thousand".