126883760 has 80 divisors (see below), whose sum is σ = 303168096. Its totient is φ = 49373184.

The previous prime is 126883753. The next prime is 126883769. The reversal of 126883760 is 67388621.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (126883769) 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, 643982 + ... + 644178.

Almost surely, 2^126883760 is an apocalyptic number.

126883760 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 126883760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151584048).

126883760 is an abundant number, since it is smaller than the sum of its proper divisors (176284336).

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

126883760 is a wasteful number, since it uses less digits than its factorization.

126883760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 126883760 is about 11264.2691729202. The cubic root of 126883760 is about 502.4991675110.

The spelling of 126883760 in words is "one hundred twenty-six million, eight hundred eighty-three thousand, seven hundred sixty".