706717440 has 648 divisors, whose sum is σ = 2984934960. Its totient is φ = 158146560.

The previous prime is 706717397. The next prime is 706717471. The reversal of 706717440 is 44717607.

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 = 706717395 and 706717404.

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 71 ways as a sum of consecutive naturals, for example, 54362874 + ... + 54362886.

Almost surely, 2^706717440 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 706717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492467480).

706717440 is an abundant number, since it is smaller than the sum of its proper divisors (2278217520).

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

706717440 is a wasteful number, since it uses less digits than its factorization.

706717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 706717440 is about 26584.1576883677. The cubic root of 706717440 is about 890.7351750683.

The spelling of 706717440 in words is "seven hundred six million, seven hundred seventeen thousand, four hundred forty".