746061120 has 336 divisors, whose sum is σ = 3062142720. Its totient is φ = 163012608.

The previous prime is 746061083. The next prime is 746061157. The reversal of 746061120 is 21160647.

746061120 is a `hidden beast` number, since 7 + 46 + 0 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (746061083) and next prime (746061157).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462876 + ... + 464484.

It is an arithmetic number, because the mean of its divisors is an integer number (9113520).

Almost surely, 2^746061120 is an apocalyptic number.

746061120 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 746061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531071360).

746061120 is an abundant number, since it is smaller than the sum of its proper divisors (2316081600).

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

746061120 is a wasteful number, since it uses less digits than its factorization.

746061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 746061120 is about 27314.1194256743. The cubic root of 746061120 is about 906.9669660778.

The spelling of 746061120 in words is "seven hundred forty-six million, sixty-one thousand, one hundred twenty".