734112960 has 224 divisors, whose sum is σ = 2756367360. Its totient is φ = 161968128.

The previous prime is 734112943. The next prime is 734112971. The reversal of 734112960 is 69211437.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192997 + ... + 196763.

Almost surely, 2^734112960 is an apocalyptic number.

734112960 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 734112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378183680).

734112960 is an abundant number, since it is smaller than the sum of its proper divisors (2022254400).

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

734112960 is a wasteful number, since it uses less digits than its factorization.

734112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 734112960 is about 27094.5190029275. The cubic root of 734112960 is about 902.0991986974.

It can be divided in two parts, 7341 and 12960, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 734112960 in words is "seven hundred thirty-four million, one hundred twelve thousand, nine hundred sixty".