193400964 has 18 divisors (see below), whose sum is σ = 488874750. Its totient is φ = 64466976.

The previous prime is 193400941. The next prime is 193401023. The reversal of 193400964 is 469004391.

193400964 is a `hidden beast` number, since 193 + 400 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148644864 + 44756100 = 12192^2 + 6690^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×193400964² = 74807865752258592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5372249 = 193400964 / (1 + 9 + 3 + 4 + 0 + 0 + 9 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2686089 + ... + 2686160.

Almost surely, 2^193400964 is an apocalyptic number.

It is an amenable number.

193400964 is an abundant number, since it is smaller than the sum of its proper divisors (295473786).

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

193400964 is a wasteful number, since it uses less digits than its factorization.

193400964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372259 (or 5372254 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 193400964 is about 13906.8675121323. The cubic root of 193400964 is about 578.2995816901.

The spelling of 193400964 in words is "one hundred ninety-three million, four hundred thousand, nine hundred sixty-four".