736960 has 84 divisors (see below), whose sum is σ = 2084832. Its totient is φ = 247296.

The previous prime is 736951. The next prime is 736961. The reversal of 736960 is 69637.

736960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×736960² = 1086220083200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (736961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15657 + ... + 15703.

2⁷³⁶⁹⁶⁰ is an apocalyptic number.

736960 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 736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042416).

736960 is an abundant number, since it is smaller than the sum of its proper divisors (1347872).

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

736960 is a wasteful number, since it uses less digits than its factorization.

736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 736960 is about 858.4637441383. The cubic root of 736960 is about 90.3263869364.

The spelling of 736960 in words is "seven hundred thirty-six thousand, nine hundred sixty".