861714900 has 108 divisors (see below), whose sum is σ = 2706535104. Its totient is φ = 229320000.

The previous prime is 861714817. The next prime is 861714913. The reversal of 861714900 is 9417168.

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

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 35 ways as a sum of consecutive naturals, for example, 819375 + ... + 820425.

Almost surely, 2^861714900 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 861714900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353267552).

861714900 is an abundant number, since it is smaller than the sum of its proper divisors (1844820204).

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

861714900 is a wasteful number, since it uses less digits than its factorization.

861714900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 861714900 is about 29354.9808380111. The cubic root of 861714900 is about 951.6002208267.

The spelling of 861714900 in words is "eight hundred sixty-one million, seven hundred fourteen thousand, nine hundred".