192245040 has 480 divisors, whose sum is σ = 779950080. Its totient is φ = 41969664.

The previous prime is 192245003. The next prime is 192245041. The reversal of 192245040 is 40542291.

It is a junction number, because it is equal to n+sod(n) for n = 192244995 and 192245013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192245041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4090297 + ... + 4090343.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^192245040 is an apocalyptic number.

192245040 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 192245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

192245040 is an abundant number, since it is smaller than the sum of its proper divisors (587705040).

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

192245040 is a wasteful number, since it uses less digits than its factorization.

192245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 192245040 is about 13865.2457605338. The cubic root of 192245040 is about 577.1451465919.

The spelling of 192245040 in words is "one hundred ninety-two million, two hundred forty-five thousand, forty".