701023968 has 144 divisors (see below), whose sum is σ = 2128862736. Its totient is φ = 218050560.

The previous prime is 701023957. The next prime is 701023979. The reversal of 701023968 is 869320107.

It is an interprime number because it is at equal distance from previous prime (701023957) and next prime (701023979).

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640830 + ... + 641922.

It is an arithmetic number, because the mean of its divisors is an integer number (14783769).

Almost surely, 2^701023968 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 701023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064431368).

701023968 is an abundant number, since it is smaller than the sum of its proper divisors (1427838768).

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

701023968 is a wasteful number, since it uses less digits than its factorization.

701023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 701023968 is about 26476.8572153116. The cubic root of 701023968 is about 888.3367361819.

The spelling of 701023968 in words is "seven hundred one million, twenty-three thousand, nine hundred sixty-eight".