126407760 has 120 divisors (see below), whose sum is σ = 413857440. Its totient is φ = 31912704.

The previous prime is 126407759. The next prime is 126407791. The reversal of 126407760 is 67704621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85911 + ... + 87369.

It is an arithmetic number, because the mean of its divisors is an integer number (3448812).

Almost surely, 2^126407760 is an apocalyptic number.

126407760 is a gapful number since it is divisible by the number (10) 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 126407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206928720).

126407760 is an abundant number, since it is smaller than the sum of its proper divisors (287449680).

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

126407760 is a wasteful number, since it uses less digits than its factorization.

126407760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 126407760 is about 11243.1205632600. The cubic root of 126407760 is about 501.8700107340.

The spelling of 126407760 in words is "one hundred twenty-six million, four hundred seven thousand, seven hundred sixty".