86875600 has 240 divisors, whose sum is σ = 265697280. Its totient is φ = 26611200.

The previous prime is 86875513. The next prime is 86875603. The reversal of 86875600 is 657868.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86875603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223565 + ... + 1223635.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^86875600 is an apocalyptic number.

86875600 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 86875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

86875600 is an abundant number, since it is smaller than the sum of its proper divisors (178821680).

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

86875600 is a wasteful number, since it uses less digits than its factorization.

86875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 86875600 is about 9320.7081276049. The cubic root of 86875600 is about 442.8934651344.

The spelling of 86875600 in words is "eighty-six million, eight hundred seventy-five thousand, six hundred".