126613872 has 240 divisors, whose sum is σ = 465803520. Its totient is φ = 31104000.

The previous prime is 126613867. The next prime is 126613957. The reversal of 126613872 is 278316621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210372 + ... + 210972.

It is an arithmetic number, because the mean of its divisors is an integer number (1940848).

Almost surely, 2^126613872 is an apocalyptic number.

126613872 is a gapful number since it is divisible by the number (12) 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 126613872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232901760).

126613872 is an abundant number, since it is smaller than the sum of its proper divisors (339189648).

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

126613872 is a wasteful number, since it uses less digits than its factorization.

126613872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 126613872 is about 11252.2829683580. The cubic root of 126613872 is about 502.1426344531.

The spelling of 126613872 in words is "one hundred twenty-six million, six hundred thirteen thousand, eight hundred seventy-two".