1301006976 has 64 divisors (see below), whose sum is σ = 3471525120. Its totient is φ = 431695872.

The previous prime is 1301006951. The next prime is 1301007023. The reversal of 1301006976 is 6796001031.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 78036 + ... + 93228.

It is an arithmetic number, because the mean of its divisors is an integer number (54242580).

Almost surely, 2^1301006976 is an apocalyptic number.

1301006976 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 1301006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735762560).

1301006976 is an abundant number, since it is smaller than the sum of its proper divisors (2170518144).

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

1301006976 is a wasteful number, since it uses less digits than its factorization.

1301006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15433 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1301006976 is about 36069.4742961413. The cubic root of 1301006976 is about 1091.6746068559.

The spelling of 1301006976 in words is "one billion, three hundred one million, six thousand, nine hundred seventy-six".