192475920 has 240 divisors, whose sum is σ = 748077120. Its totient is φ = 40578048.

The previous prime is 192475903. The next prime is 192475967. The reversal of 192475920 is 29574291.

192475920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152251 + ... + 153509.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^192475920 is an apocalyptic number.

192475920 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 192475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

192475920 is an abundant number, since it is smaller than the sum of its proper divisors (555601200).

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

192475920 is a wasteful number, since it uses less digits than its factorization.

192475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 192475920 is about 13873.5691154079. The cubic root of 192475920 is about 577.3760983042.

The spelling of 192475920 in words is "one hundred ninety-two million, four hundred seventy-five thousand, nine hundred twenty".