680414742 has 80 divisors (see below), whose sum is σ = 1775470752. Its totient is φ = 190719360.

The previous prime is 680414741. The next prime is 680414789. The reversal of 680414742 is 247414086.

It is a super-2 number, since 2×680414742² = 925928442261853128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 680414697 and 680414706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680414741) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 54442 + ... + 65762.

Almost surely, 2^680414742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680414742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887735376).

680414742 is an abundant number, since it is smaller than the sum of its proper divisors (1095056010).

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

680414742 is a wasteful number, since it uses less digits than its factorization.

680414742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11395 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 680414742 is about 26084.7607234569. The cubic root of 680414742 is about 879.5446775023.

The spelling of 680414742 in words is "six hundred eighty million, four hundred fourteen thousand, seven hundred forty-two".