736896 has 64 divisors (see below), whose sum is σ = 2080800. Its totient is φ = 230400.

The previous prime is 736889. The next prime is 736903. The reversal of 736896 is 698637.

It is an interprime number because it is at equal distance from previous prime (736889) and next prime (736903).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

736896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7246 + ... + 7346.

2⁷³⁶⁸⁹⁶ is an apocalyptic number.

736896 is a gapful number since it is divisible by the number (76) 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 736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040400).

736896 is an abundant number, since it is smaller than the sum of its proper divisors (1343904).

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

736896 is a wasteful number, since it uses less digits than its factorization.

736896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 736896 is about 858.4264674391. The cubic root of 736896 is about 90.3237721151.

The spelling of 736896 in words is "seven hundred thirty-six thousand, eight hundred ninety-six".