946972768 has 96 divisors (see below), whose sum is σ = 2266064640. Its totient is φ = 380505600.

The previous prime is 946972753. The next prime is 946972781. The reversal of 946972768 is 867279649.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428755 + ... + 430957.

It is an arithmetic number, because the mean of its divisors is an integer number (23604840).

Almost surely, 2^946972768 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 946972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133032320).

946972768 is an abundant number, since it is smaller than the sum of its proper divisors (1319091872).

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

946972768 is a wasteful number, since it uses less digits than its factorization.

946972768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2332 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 58.

The square root of 946972768 is about 30772.9226431290. The cubic root of 946972768 is about 982.0022813856.

The spelling of 946972768 in words is "nine hundred forty-six million, nine hundred seventy-two thousand, seven hundred sixty-eight".