736086960 has 320 divisors, whose sum is σ = 2935526400. Its totient is φ = 166053888.

The previous prime is 736086947. The next prime is 736086977. The reversal of 736086960 is 69680637.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345407 + ... + 1345953.

It is an arithmetic number, because the mean of its divisors is an integer number (9173520).

Almost surely, 2^736086960 is an apocalyptic number.

736086960 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 736086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467763200).

736086960 is an abundant number, since it is smaller than the sum of its proper divisors (2199439440).

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

736086960 is a wasteful number, since it uses less digits than its factorization.

736086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 736086960 is about 27130.9225792268. The cubic root of 736086960 is about 902.9070444374.

The spelling of 736086960 in words is "seven hundred thirty-six million, eighty-six thousand, nine hundred sixty".