1301952960 has 896 divisors, whose sum is σ = 6086246400. Its totient is φ = 253808640.

The previous prime is 1301952959. The next prime is 1301952997. The reversal of 1301952960 is 692591031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12640269 + ... + 12640371.

Almost surely, 2^1301952960 is an apocalyptic number.

1301952960 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 1301952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043123200).

1301952960 is an abundant number, since it is smaller than the sum of its proper divisors (4784293440).

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

1301952960 is a wasteful number, since it uses less digits than its factorization.

1301952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1301952960 is about 36082.5852732312. The cubic root of 1301952960 is about 1091.9391343928.

The spelling of 1301952960 in words is "one billion, three hundred one million, nine hundred fifty-two thousand, nine hundred sixty".