305701664 has 48 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 147329280.

The previous prime is 305701619. The next prime is 305701679. The reversal of 305701664 is 466107503.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 305701664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345767 + ... + 346649.

It is an arithmetic number, because the mean of its divisors is an integer number (12994800).

Almost surely, 2^305701664 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 305701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

305701664 is an abundant number, since it is smaller than the sum of its proper divisors (318048736).

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

305701664 is a wasteful number, since it uses less digits than its factorization.

305701664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 305701664 is about 17484.3262380911. The cubic root of 305701664 is about 673.6473425651.

The spelling of 305701664 in words is "three hundred five million, seven hundred one thousand, six hundred sixty-four".