706825420 has 192 divisors, whose sum is σ = 1871364096. Its totient is φ = 218972160.

The previous prime is 706825417. The next prime is 706825447. The reversal of 706825420 is 24528607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7286812 + ... + 7286908.

It is an arithmetic number, because the mean of its divisors is an integer number (9746688).

Almost surely, 2^706825420 is an apocalyptic number.

706825420 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 706825420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935682048).

706825420 is an abundant number, since it is smaller than the sum of its proper divisors (1164538676).

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

706825420 is a wasteful number, since it uses less digits than its factorization.

706825420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 706825420 is about 26586.1885196054. The cubic root of 706825420 is about 890.7805381703.

The spelling of 706825420 in words is "seven hundred six million, eight hundred twenty-five thousand, four hundred twenty".