86952400 has 60 divisors (see below), whose sum is σ = 210232204. Its totient is φ = 34560000.

The previous prime is 86952361. The next prime is 86952401. The reversal of 86952400 is 425968.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 49449024 + 37503376 = 7032^2 + 6124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86952401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71800 + ... + 73000.

Almost surely, 2^86952400 is an apocalyptic number.

86952400 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 86952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105116102).

86952400 is an abundant number, since it is smaller than the sum of its proper divisors (123279804).

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

86952400 is a wasteful number, since it uses less digits than its factorization.

86952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 86952400 is about 9324.8270761446. The cubic root of 86952400 is about 443.0239359836.

The spelling of 86952400 in words is "eighty-six million, nine hundred fifty-two thousand, four hundred".