193980864 has 112 divisors (see below), whose sum is σ = 639933696. Its totient is φ = 50380800.

The previous prime is 193980851. The next prime is 193980893. The reversal of 193980864 is 468089391.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8224 + ... + 21344.

Almost surely, 2^193980864 is an apocalyptic number.

193980864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319966848).

193980864 is an abundant number, since it is smaller than the sum of its proper divisors (445952832).

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

193980864 is a wasteful number, since it uses less digits than its factorization.

193980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154 (or 13144 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 193980864 is about 13927.7013178773. The cubic root of 193980864 is about 578.8770026378.

The spelling of 193980864 in words is "one hundred ninety-three million, nine hundred eighty thousand, eight hundred sixty-four".