736006656 has 320 divisors, whose sum is σ = 2514124800. Its totient is φ = 189665280.

The previous prime is 736006639. The next prime is 736006673. The reversal of 736006656 is 656600637.

It is an interprime number because it is at equal distance from previous prime (736006639) and next prime (736006673).

It is a congruent number.

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, 5795265 + ... + 5795391.

It is an arithmetic number, because the mean of its divisors is an integer number (7856640).

Almost surely, 2^736006656 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 736006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257062400).

736006656 is an abundant number, since it is smaller than the sum of its proper divisors (1778118144).

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

736006656 is a wasteful number, since it uses less digits than its factorization.

736006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 736006656 is about 27129.4426039312. The cubic root of 736006656 is about 902.8742087862.

The spelling of 736006656 in words is "seven hundred thirty-six million, six thousand, six hundred fifty-six".