86886800 has 360 divisors, whose sum is σ = 294481152. Its totient is φ = 24192000.

The previous prime is 86886799. The next prime is 86886803. The reversal of 86886800 is 868868.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (86886803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2802785 + ... + 2802815.

Almost surely, 2^86886800 is an apocalyptic number.

86886800 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 86886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

86886800 is an abundant number, since it is smaller than the sum of its proper divisors (207594352).

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

86886800 is a wasteful number, since it uses less digits than its factorization.

86886800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 86886800 is about 9321.3089209617. The cubic root of 86886800 is about 442.9124969211.

Multiplying 86886800 by its reverse (868868), we get a square (75493160142400 = 8688680²).

86886800 divided by its reverse (868868) gives a square (100 = 10²).

It can be divided in two parts, 868 and 86800, that multiplied together give a square (75342400 = 8680²).

The spelling of 86886800 in words is "eighty-six million, eight hundred eighty-six thousand, eight hundred".