746536960 has 120 divisors (see below), whose sum is σ = 1932204456. Its totient is φ = 275251200.

The previous prime is 746536951. The next prime is 746536969. The reversal of 746536960 is 69635647.

It is an interprime number because it is at equal distance from previous prime (746536951) and next prime (746536969).

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 668532736 = 8832^2 + 25856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 746536960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746536969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064610 + ... + 1065310.

Almost surely, 2^746536960 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 746536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966102228).

746536960 is an abundant number, since it is smaller than the sum of its proper divisors (1185667496).

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

746536960 is an equidigital number, since it uses as much as digits as its factorization.

746536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The square root of 746536960 is about 27322.8285504997. The cubic root of 746536960 is about 907.1597471738.

The spelling of 746536960 in words is "seven hundred forty-six million, five hundred thirty-six thousand, nine hundred sixty".