704661120 has 384 divisors, whose sum is σ = 2646483840. Its totient is φ = 178827264.

The previous prime is 704661109. The next prime is 704661157. The reversal of 704661120 is 21166407.

704661120 is a `hidden beast` number, since 7 + 0 + 46 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576862 + ... + 3577058.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2^704661120 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 704661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

704661120 is an abundant number, since it is smaller than the sum of its proper divisors (1941822720).

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

704661120 is a wasteful number, since it uses less digits than its factorization.

704661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 704661120 is about 26545.4538480697. The cubic root of 704661120 is about 889.8704183685.

The spelling of 704661120 in words is "seven hundred four million, six hundred sixty-one thousand, one hundred twenty".