1956698172 has 144 divisors (see below), whose sum is σ = 5935168512. Its totient is φ = 535616640.

The previous prime is 1956698141. The next prime is 1956698173. The reversal of 1956698172 is 2718966591.

1956698172 is a `hidden beast` number, since 1 + 9 + 566 + 9 + 8 + 1 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956698173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237913 + ... + 245999.

It is an arithmetic number, because the mean of its divisors is an integer number (41216448).

Almost surely, 2^1956698172 is an apocalyptic number.

1956698172 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 1956698172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967584256).

1956698172 is an abundant number, since it is smaller than the sum of its proper divisors (3978470340).

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

1956698172 is a wasteful number, since it uses less digits than its factorization.

1956698172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8163 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1956698172 is about 44234.5811780783. The cubic root of 1956698172 is about 1250.7618123126.

It can be divided in two parts, 195669 and 8172, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 1956698172 in words is "one billion, nine hundred fifty-six million, six hundred ninety-eight thousand, one hundred seventy-two".