1956946264 has 64 divisors (see below), whose sum is σ = 4525920000. Its totient is φ = 772481664.

The previous prime is 1956946231. The next prime is 1956946291. The reversal of 1956946264 is 4626496591.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360579 + ... + 365965.

It is an arithmetic number, because the mean of its divisors is an integer number (70717500).

Almost surely, 2^1956946264 is an apocalyptic number.

1956946264 is a gapful number since it is divisible by the number (14) 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 1956946264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262960000).

1956946264 is an abundant number, since it is smaller than the sum of its proper divisors (2568973736).

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

1956946264 is a wasteful number, since it uses less digits than its factorization.

1956946264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5908 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The square root of 1956946264 is about 44237.3853657740. The cubic root of 1956946264 is about 1250.8146719191.

The spelling of 1956946264 in words is "one billion, nine hundred fifty-six million, nine hundred forty-six thousand, two hundred sixty-four".