701144640 has 224 divisors, whose sum is σ = 2827080960. Its totient is φ = 160247808.

The previous prime is 701144623. The next prime is 701144641. The reversal of 701144640 is 46441107.

701144640 is a `hidden beast` number, since 7 + 0 + 1 + 14 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (701144641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54684 + ... + 66276.

Almost surely, 2^701144640 is an apocalyptic number.

701144640 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 701144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413540480).

701144640 is an abundant number, since it is smaller than the sum of its proper divisors (2125936320).

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

701144640 is a wasteful number, since it uses less digits than its factorization.

701144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11626 (or 11610 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 701144640 is about 26479.1359375641. The cubic root of 701144640 is about 888.3877050623.

Adding to 701144640 its reverse (46441107), we get a palindrome (747585747).

The spelling of 701144640 in words is "seven hundred one million, one hundred forty-four thousand, six hundred forty".