192468960 has 120 divisors (see below), whose sum is σ = 679300776. Its totient is φ = 51321600.

The previous prime is 192468959. The next prime is 192468961. The reversal of 192468960 is 69864291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (192468959) and next prime (192468961).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192468961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5535 + ... + 20385.

Almost surely, 2^192468960 is an apocalyptic number.

192468960 is a gapful number since it is divisible by the number (10) 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 192468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339650388).

192468960 is an abundant number, since it is smaller than the sum of its proper divisors (486831816).

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

192468960 is a wasteful number, since it uses less digits than its factorization.

192468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 192468960 is about 13873.3182764615. The cubic root of 192468960 is about 577.3691388430.

The spelling of 192468960 in words is "one hundred ninety-two million, four hundred sixty-eight thousand, nine hundred sixty".