706749120 has 336 divisors, whose sum is σ = 3031711488. Its totient is φ = 146810880.

The previous prime is 706749107. The next prime is 706749139. The reversal of 706749120 is 21947607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 220167 + ... + 223353.

Almost surely, 2^706749120 is an apocalyptic number.

706749120 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 706749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515855744).

706749120 is an abundant number, since it is smaller than the sum of its proper divisors (2324962368).

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

706749120 is a wasteful number, since it uses less digits than its factorization.

706749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 706749120 is about 26584.7535252821. The cubic root of 706749120 is about 890.7484845218.

The spelling of 706749120 in words is "seven hundred six million, seven hundred forty-nine thousand, one hundred twenty".