1952076672 has 320 divisors, whose sum is σ = 7153423200. Its totient is φ = 514584576.

The previous prime is 1952076667. The next prime is 1952076713. The reversal of 1952076672 is 2766702591.

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 39 ways as a sum of consecutive naturals, for example, 942454 + ... + 944522.

Almost surely, 2^1952076672 is an apocalyptic number.

1952076672 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 1952076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576711600).

1952076672 is an abundant number, since it is smaller than the sum of its proper divisors (5201346528).

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

1952076672 is a wasteful number, since it uses less digits than its factorization.

1952076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1952076672 is about 44182.3117548188. The cubic root of 1952076672 is about 1249.7763166683.

The spelling of 1952076672 in words is "one billion, nine hundred fifty-two million, seventy-six thousand, six hundred seventy-two".