126846720 has 648 divisors, whose sum is σ = 593724768. Its totient is φ = 24330240.

The previous prime is 126846703. The next prime is 126846781. The reversal of 126846720 is 27648621.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9757434 + ... + 9757446.

Almost surely, 2^126846720 is an apocalyptic number.

126846720 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 126846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296862384).

126846720 is an abundant number, since it is smaller than the sum of its proper divisors (466878048).

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

126846720 is a wasteful number, since it uses less digits than its factorization.

126846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126846720 is about 11262.6249160664. The cubic root of 126846720 is about 502.4502661107.

The spelling of 126846720 in words is "one hundred twenty-six million, eight hundred forty-six thousand, seven hundred twenty".