86952000 has 112 divisors (see below), whose sum is σ = 287194752. Its totient is φ = 23180800.

The previous prime is 86951989. The next prime is 86952001. The reversal of 86952000 is 25968.

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

It is not an unprimeable number, because it can be changed into a prime (86952001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22189 + ... + 25811.

Almost surely, 2^86952000 is an apocalyptic number.

86952000 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 86952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143597376).

86952000 is an abundant number, since it is smaller than the sum of its proper divisors (200242752).

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

86952000 is a wasteful number, since it uses less digits than its factorization.

86952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 86952000 is about 9324.8056280010. The cubic root of 86952000 is about 443.0232566470.

Adding to 86952000 its reverse (25968), we get a palindrome (86977968).

The spelling of 86952000 in words is "eighty-six million, nine hundred fifty-two thousand".