126013860 has 384 divisors, whose sum is σ = 496419840. Its totient is φ = 25878528.

The previous prime is 126013819. The next prime is 126013873. The reversal of 126013860 is 68310621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2377594 + ... + 2377646.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^126013860 is an apocalyptic number.

126013860 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 126013860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

126013860 is an abundant number, since it is smaller than the sum of its proper divisors (370405980).

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

126013860 is a wasteful number, since it uses less digits than its factorization.

126013860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126013860 is about 11225.5895168138. The cubic root of 126013860 is about 501.3481749149.

It can be divided in two parts, 12601 and 3860, that added together give a palindrome (16461).

The spelling of 126013860 in words is "one hundred twenty-six million, thirteen thousand, eight hundred sixty".