126910872 has 96 divisors (see below), whose sum is σ = 391322880. Its totient is φ = 36780480.

The previous prime is 126910859. The next prime is 126910877. The reversal of 126910872 is 278019621.

It is a super-2 number, since 2×126910872² = 32212738863600768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126910877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14733 + ... + 21699.

It is an arithmetic number, because the mean of its divisors is an integer number (4076280).

Almost surely, 2^126910872 is an apocalyptic number.

126910872 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 126910872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195661440).

126910872 is an abundant number, since it is smaller than the sum of its proper divisors (264412008).

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

126910872 is a wasteful number, since it uses less digits than its factorization.

126910872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 126910872 is about 11265.4725599950. The cubic root of 126910872 is about 502.5349556139.

The spelling of 126910872 in words is "one hundred twenty-six million, nine hundred ten thousand, eight hundred seventy-two".