735680946 has 128 divisors (see below), whose sum is σ = 1986840576. Its totient is φ = 175380480.

The previous prime is 735680941. The next prime is 735680947. The reversal of 735680946 is 649086537.

It is a junction number, because it is equal to n+sod(n) for n = 735680895 and 735680904.

It is not an unprimeable number, because it can be changed into a prime (735680941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2083906 + ... + 2084258.

It is an arithmetic number, because the mean of its divisors is an integer number (15522192).

Almost surely, 2^735680946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735680946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993420288).

735680946 is an abundant number, since it is smaller than the sum of its proper divisors (1251159630).

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

735680946 is a wasteful number, since it uses less digits than its factorization.

735680946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 735680946 is about 27123.4390518607. The cubic root of 735680946 is about 902.7410041262.

The spelling of 735680946 in words is "seven hundred thirty-five million, six hundred eighty thousand, nine hundred forty-six".