1960807296 has 128 divisors (see below), whose sum is σ = 6265900800. Its totient is φ = 530731008.

The previous prime is 1960807279. The next prime is 1960807333. The reversal of 1960807296 is 6927080691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31876 + ... + 70268.

It is an arithmetic number, because the mean of its divisors is an integer number (48952350).

Almost surely, 2^1960807296 is an apocalyptic number.

1960807296 is a gapful number since it is divisible by the number (16) 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 1960807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132950400).

1960807296 is an abundant number, since it is smaller than the sum of its proper divisors (4305093504).

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

1960807296 is a wasteful number, since it uses less digits than its factorization.

1960807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38436 (or 38424 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1960807296 is about 44281.0037826606. The cubic root of 1960807296 is about 1251.6367457287.

The spelling of 1960807296 in words is "one billion, nine hundred sixty million, eight hundred seven thousand, two hundred ninety-six".