736541856 has 96 divisors (see below), whose sum is σ = 2153027520. Its totient is φ = 244968192.

The previous prime is 736541849. The next prime is 736541863. The reversal of 736541856 is 658145637.

It is an interprime number because it is at equal distance from previous prime (736541849) and next prime (736541863).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632731 + ... + 633893.

It is an arithmetic number, because the mean of its divisors is an integer number (22427370).

Almost surely, 2^736541856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736541856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076513760).

736541856 is an abundant number, since it is smaller than the sum of its proper divisors (1416485664).

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

736541856 is a wasteful number, since it uses less digits than its factorization.

736541856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1901 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 736541856 is about 27139.3046336858. The cubic root of 736541856 is about 903.0930026395.

The spelling of 736541856 in words is "seven hundred thirty-six million, five hundred forty-one thousand, eight hundred fifty-six".