126039760 has 240 divisors, whose sum is σ = 386760960. Its totient is φ = 37739520.

The previous prime is 126039737. The next prime is 126039791. The reversal of 126039760 is 67930621.

It is a super-2 number, since 2×126039760² = 31772042201715200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1595401 + ... + 1595479.

It is an arithmetic number, because the mean of its divisors is an integer number (1611504).

Almost surely, 2^126039760 is an apocalyptic number.

126039760 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 126039760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

126039760 is an abundant number, since it is smaller than the sum of its proper divisors (260721200).

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

126039760 is a wasteful number, since it uses less digits than its factorization.

126039760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 126039760 is about 11226.7430717907. The cubic root of 126039760 is about 501.3825204179.

The spelling of 126039760 in words is "one hundred twenty-six million, thirty-nine thousand, seven hundred sixty".