904779666 has 64 divisors (see below), whose sum is σ = 2329401600. Its totient is φ = 254959488.

The previous prime is 904779649. The next prime is 904779697. The reversal of 904779666 is 666977409.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11200 + ... + 43988.

It is an arithmetic number, because the mean of its divisors is an integer number (36396900).

Almost surely, 2^904779666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904779666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164700800).

904779666 is an abundant number, since it is smaller than the sum of its proper divisors (1424621934).

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

904779666 is a wasteful number, since it uses less digits than its factorization.

904779666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32880 (or 32874 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 904779666 is about 30079.5556150685. Note that the first 3 decimals coincide. The cubic root of 904779666 is about 967.1955222410.

The spelling of 904779666 in words is "nine hundred four million, seven hundred seventy-nine thousand, six hundred sixty-six".