1960193376 has 72 divisors (see below), whose sum is σ = 5600892024. Its totient is φ = 650280960.

The previous prime is 1960193371. The next prime is 1960193447. The reversal of 1960193376 is 6733910691.

1960193376 is a `hidden beast` number, since 1 + 9 + 601 + 9 + 3 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960193371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44640 + ... + 76896.

It is an arithmetic number, because the mean of its divisors is an integer number (77790167).

Almost surely, 2^1960193376 is an apocalyptic number.

1960193376 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 1960193376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800446012).

1960193376 is an abundant number, since it is smaller than the sum of its proper divisors (3640698648).

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

1960193376 is a wasteful number, since it uses less digits than its factorization.

1960193376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32484 (or 32473 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1960193376 is about 44274.0711477948. The cubic root of 1960193376 is about 1251.5061048032.

The spelling of 1960193376 in words is "one billion, nine hundred sixty million, one hundred ninety-three thousand, three hundred seventy-six".