340126560 has 192 divisors, whose sum is σ = 1218792960. Its totient is φ = 88542720.

The previous prime is 340126537. The next prime is 340126561. The reversal of 340126560 is 65621043.

340126560 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340126561) 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 31 ways as a sum of consecutive naturals, for example, 184845 + ... + 186675.

It is an arithmetic number, because the mean of its divisors is an integer number (6347880).

Almost surely, 2^340126560 is an apocalyptic number.

340126560 is a gapful number since it is divisible by the number (30) 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 340126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609396480).

340126560 is an abundant number, since it is smaller than the sum of its proper divisors (878666400).

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

340126560 is a wasteful number, since it uses less digits than its factorization.

340126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 340126560 is about 18442.5204351249. The cubic root of 340126560 is about 698.0397948866.

The spelling of 340126560 in words is "three hundred forty million, one hundred twenty-six thousand, five hundred sixty".