706460040 has 192 divisors, whose sum is σ = 2697589440. Its totient is φ = 158077440.

The previous prime is 706460009. The next prime is 706460057. The reversal of 706460040 is 40064607.

It is a junction number, because it is equal to n+sod(n) for n = 706459986 and 706460013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44619 + ... + 58341.

It is an arithmetic number, because the mean of its divisors is an integer number (14049945).

Almost surely, 2^706460040 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 706460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348794720).

706460040 is an abundant number, since it is smaller than the sum of its proper divisors (1991129400).

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

706460040 is a wasteful number, since it uses less digits than its factorization.

706460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 706460040 is about 26579.3160182876. The cubic root of 706460040 is about 890.6270210111.

The spelling of 706460040 in words is "seven hundred six million, four hundred sixty thousand, forty".