701180064 has 120 divisors (see below), whose sum is σ = 2220884820. Its totient is φ = 215737344.

The previous prime is 701180027. The next prime is 701180069. The reversal of 701180064 is 460081107.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 629608464 + 71571600 = 25092^2 + 8460^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (701180069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23292 + ... + 44100.

Almost surely, 2^701180064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110442410).

701180064 is an abundant number, since it is smaller than the sum of its proper divisors (1519704756).

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

701180064 is a wasteful number, since it uses less digits than its factorization.

701180064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20844 (or 20827 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 701180064 is about 26479.8048331176. The cubic root of 701180064 is about 888.4026661770.

The spelling of 701180064 in words is "seven hundred one million, one hundred eighty thousand, sixty-four".