86877000 has 288 divisors, whose sum is σ = 343320120. Its totient is φ = 19756800.

The previous prime is 86876989. The next prime is 86877059. The reversal of 86877000 is 77868.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 34082244 = 7266^2 + 5838^2 .

It is a super-2 number, since 2×86877000² = 15095226258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440902 + ... + 441098.

Almost surely, 2^86877000 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 86877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171660060).

86877000 is an abundant number, since it is smaller than the sum of its proper divisors (256443120).

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

86877000 is a wasteful number, since it uses less digits than its factorization.

86877000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 86877000 is about 9320.7832288923. The cubic root of 86877000 is about 442.8958441972.

The spelling of 86877000 in words is "eighty-six million, eight hundred seventy-seven thousand".