1976868960 has 288 divisors, whose sum is σ = 6932985696. Its totient is φ = 473088000.

The previous prime is 1976868941. The next prime is 1976868983. The reversal of 1976868960 is 698686791.

It is a super-2 number, since 2×1976868960² = 7816021770022963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1976868894 and 1976868903.

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 47 ways as a sum of consecutive naturals, for example, 5865912 + ... + 5866248.

It is an arithmetic number, because the mean of its divisors is an integer number (24072867).

Almost surely, 2^1976868960 is an apocalyptic number.

1976868960 is a gapful number since it is divisible by the number (10) 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 1976868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466492848).

1976868960 is an abundant number, since it is smaller than the sum of its proper divisors (4956116736).

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

1976868960 is a wasteful number, since it uses less digits than its factorization.

1976868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 1976868960 is about 44461.9945571496. The cubic root of 1976868960 is about 1255.0449892075.

The spelling of 1976868960 in words is "one billion, nine hundred seventy-six million, eight hundred sixty-eight thousand, nine hundred sixty".