1965674172 has 192 divisors, whose sum is σ = 5978649600. Its totient is φ = 487710720.

The previous prime is 1965674171. The next prime is 1965674177. The reversal of 1965674172 is 2714765691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965674171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2920428 + ... + 2921100.

It is an arithmetic number, because the mean of its divisors is an integer number (31138800).

Almost surely, 2^1965674172 is an apocalyptic number.

1965674172 is a gapful number since it is divisible by the number (12) 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 1965674172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989324800).

1965674172 is an abundant number, since it is smaller than the sum of its proper divisors (4012975428).

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

1965674172 is a wasteful number, since it uses less digits than its factorization.

1965674172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 1965674172 is about 44335.9241699099. The cubic root of 1965674172 is about 1252.6714433385.

The spelling of 1965674172 in words is "one billion, nine hundred sixty-five million, six hundred seventy-four thousand, one hundred seventy-two".