1956726144 has 96 divisors (see below), whose sum is σ = 5682705600. Its totient is φ = 646216704.

The previous prime is 1956726139. The next prime is 1956726157. The reversal of 1956726144 is 4416276591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1956726144² = 7657554405226217472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1956726144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117777 + ... + 133359.

It is an arithmetic number, because the mean of its divisors is an integer number (59194850).

Almost surely, 2^1956726144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841352800).

1956726144 is an abundant number, since it is smaller than the sum of its proper divisors (3725979456).

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

1956726144 is a wasteful number, since it uses less digits than its factorization.

1956726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15697 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1956726144 is about 44234.8973549165. The cubic root of 1956726144 is about 1250.7677723772.

The spelling of 1956726144 in words is "one billion, nine hundred fifty-six million, seven hundred twenty-six thousand, one hundred forty-four".