856609830 has 80 divisors (see below), whose sum is σ = 2382819120. Its totient is φ = 220546368.

The previous prime is 856609799. The next prime is 856609867. The reversal of 856609830 is 38906658.

856609830 is a `hidden beast` number, since 8 + 5 + 6 + 609 + 8 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5257 + ... + 41723.

It is an arithmetic number, because the mean of its divisors is an integer number (29785239).

Almost surely, 2^856609830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856609830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191409560).

856609830 is an abundant number, since it is smaller than the sum of its proper divisors (1526209290).

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

856609830 is a wasteful number, since it uses less digits than its factorization.

856609830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36515 (or 36506 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 856609830 is about 29267.8976012969. The cubic root of 856609830 is about 949.7173046205.

The spelling of 856609830 in words is "eight hundred fifty-six million, six hundred nine thousand, eight hundred thirty".