701688240 has 240 divisors, whose sum is σ = 2706612480. Its totient is φ = 161118720.

The previous prime is 701688223. The next prime is 701688241. The reversal of 701688240 is 42886107.

701688240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 701688195 and 701688204.

It is not an unprimeable number, because it can be changed into a prime (701688241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148149 + ... + 152811.

It is an arithmetic number, because the mean of its divisors is an integer number (11277552).

Almost surely, 2^701688240 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 701688240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353306240).

701688240 is an abundant number, since it is smaller than the sum of its proper divisors (2004924240).

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

701688240 is a wasteful number, since it uses less digits than its factorization.

701688240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 701688240 is about 26489.3986341706. The cubic root of 701688240 is about 888.6172358312.

The spelling of 701688240 in words is "seven hundred one million, six hundred eighty-eight thousand, two hundred forty".