191600964 has 45 divisors (see below), whose sum is σ = 501534957. Its totient is φ = 63783936.

The previous prime is 191600957. The next prime is 191600977. The reversal of 191600964 is 469006191.

The square root of 191600964 is 13842.

It is a perfect power (a square), and thus also a powerful number.

191600964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 74960964 + 116640000 = 8658^2 + 10800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 248772 + ... + 249540.

Almost surely, 2^191600964 is an apocalyptic number.

191600964 is the 13842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191600964

191600964 is an abundant number, since it is smaller than the sum of its proper divisors (309933993).

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

191600964 is an frugal number, since it uses more digits than its factorization.

191600964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 191600964 is about 576.4998915558.

Multiplying 191600964 by its sum of digits (36), we get a square (6897634704 = 83052²).

191600964 divided by its sum of digits (36) gives a square (5322249 = 2307²).

Multiplying 191600964 by its product of nonzero digits (11664), we get a square (2234833644096 = 1494936²).

The spelling of 191600964 in words is "one hundred ninety-one million, six hundred thousand, nine hundred sixty-four".