126746880 has 144 divisors (see below), whose sum is σ = 436107840. Its totient is φ = 31186944.

The previous prime is 126746869. The next prime is 126746887. The reversal of 126746880 is 88647621.

It is not an unprimeable number, because it can be changed into a prime (126746887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48651 + ... + 51189.

Almost surely, 2^126746880 is an apocalyptic number.

126746880 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 126746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218053920).

126746880 is an abundant number, since it is smaller than the sum of its proper divisors (309360960).

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

126746880 is a wasteful number, since it uses less digits than its factorization.

126746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 126746880 is about 11258.1916842804. The cubic root of 126746880 is about 502.3184066988.

The spelling of 126746880 in words is "one hundred twenty-six million, seven hundred forty-six thousand, eight hundred eighty".