192965640 has 128 divisors (see below), whose sum is σ = 700565760. Its totient is φ = 41508864.

The previous prime is 192965609. The next prime is 192965677. The reversal of 192965640 is 46569291.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 192965592 and 192965601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7524 + ... + 21036.

It is an arithmetic number, because the mean of its divisors is an integer number (5473170).

Almost surely, 2^192965640 is an apocalyptic number.

192965640 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 192965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350282880).

192965640 is an abundant number, since it is smaller than the sum of its proper divisors (507600120).

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

192965640 is a wasteful number, since it uses less digits than its factorization.

192965640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 192965640 is about 13891.2072909449. The cubic root of 192965640 is about 577.8653597783.

The spelling of 192965640 in words is "one hundred ninety-two million, nine hundred sixty-five thousand, six hundred forty".