126007280 has 80 divisors (see below), whose sum is σ = 338978304. Its totient is φ = 42666240.

The previous prime is 126007223. The next prime is 126007283. The reversal of 126007280 is 82700621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126007280² = 31755669225996800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126007283) 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, 45125 + ... + 47835.

Almost surely, 2^126007280 is an apocalyptic number.

126007280 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 126007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169489152).

126007280 is an abundant number, since it is smaller than the sum of its proper divisors (212971024).

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

126007280 is a wasteful number, since it uses less digits than its factorization.

126007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 126007280 is about 11225.2964326115. The cubic root of 126007280 is about 501.3394485510.

The spelling of 126007280 in words is "one hundred twenty-six million, seven thousand, two hundred eighty".