706042920 has 128 divisors (see below), whose sum is σ = 2320980480. Its totient is φ = 170400000.

The previous prime is 706042913. The next prime is 706042943. The reversal of 706042920 is 29240607.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330255 + ... + 332385.

It is an arithmetic number, because the mean of its divisors is an integer number (18132660).

Almost surely, 2^706042920 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 706042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160490240).

706042920 is an abundant number, since it is smaller than the sum of its proper divisors (1614937560).

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

706042920 is a wasteful number, since it uses less digits than its factorization.

706042920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 706042920 is about 26571.4681566525. The cubic root of 706042920 is about 890.4517001808.

The spelling of 706042920 in words is "seven hundred six million, forty-two thousand, nine hundred twenty".