646961832 has 192 divisors, whose sum is σ = 1984656960. Its totient is φ = 190270080.

The previous prime is 646961807. The next prime is 646961851. The reversal of 646961832 is 238169646.

646961832 is a `hidden beast` number, since 6 + 469 + 6 + 183 + 2 = 666.

It is a super-2 number, since 2×646961832² = 837119224129592448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (373248) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4120698 + ... + 4120854.

It is an arithmetic number, because the mean of its divisors is an integer number (10336755).

Almost surely, 2^646961832 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 646961832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992328480).

646961832 is an abundant number, since it is smaller than the sum of its proper divisors (1337695128).

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

646961832 is a wasteful number, since it uses less digits than its factorization.

646961832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 646961832 is about 25435.4444034304. Note that the first 4 decimals coincide. The cubic root of 646961832 is about 864.8873663583.

The spelling of 646961832 in words is "six hundred forty-six million, nine hundred sixty-one thousand, eight hundred thirty-two".