126870880 has 48 divisors (see below), whose sum is σ = 302070384. Its totient is φ = 50352640.

The previous prime is 126870871. The next prime is 126870883. The reversal of 126870880 is 88078621.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126870883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17934 + ... + 23986.

It is an arithmetic number, because the mean of its divisors is an integer number (6293133).

Almost surely, 2^126870880 is an apocalyptic number.

126870880 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 126870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151035192).

126870880 is an abundant number, since it is smaller than the sum of its proper divisors (175199504).

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

126870880 is a wasteful number, since it uses less digits than its factorization.

126870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 126870880 is about 11263.6974391183. The cubic root of 126870880 is about 502.4821639998.

The spelling of 126870880 in words is "one hundred twenty-six million, eight hundred seventy thousand, eight hundred eighty".