868574200 has 192 divisors, whose sum is σ = 2361411360. Its totient is φ = 294174720.

The previous prime is 868574191. The next prime is 868574233. The reversal of 868574200 is 2475868.

It is a super-2 number, since 2×868574200² = 1508842281811280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900372 + ... + 1900828.

Almost surely, 2^868574200 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 868574200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180705680).

868574200 is an abundant number, since it is smaller than the sum of its proper divisors (1492837160).

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

868574200 is a wasteful number, since it uses less digits than its factorization.

868574200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 868574200 is about 29471.5829232161. The cubic root of 868574200 is about 954.1184815349.

The spelling of 868574200 in words is "eight hundred sixty-eight million, five hundred seventy-four thousand, two hundred".