701352960 has 352 divisors, whose sum is σ = 2801475072. Its totient is φ = 145489920.

The previous prime is 701352931. The next prime is 701352973. The reversal of 701352960 is 69253107.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182424 + ... + 1183016.

It is an arithmetic number, because the mean of its divisors is an integer number (7958736).

Almost surely, 2^701352960 is an apocalyptic number.

701352960 is a gapful number since it is divisible by the number (70) 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 701352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400737536).

701352960 is an abundant number, since it is smaller than the sum of its proper divisors (2100122112).

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

701352960 is a wasteful number, since it uses less digits than its factorization.

701352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 701352960 is about 26483.0693085224. The cubic root of 701352960 is about 888.4756805386.

The spelling of 701352960 in words is "seven hundred one million, three hundred fifty-two thousand, nine hundred sixty".