126494880 has 96 divisors (see below), whose sum is σ = 411360768. Its totient is φ = 32640000.

The previous prime is 126494873. The next prime is 126494903. The reversal of 126494880 is 88494621.

126494880 = 2005² + 2006² + ... + 2035².

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10630 + ... + 19130.

It is an arithmetic number, because the mean of its divisors is an integer number (4285008).

Almost surely, 2^126494880 is an apocalyptic number.

126494880 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 126494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205680384).

126494880 is an abundant number, since it is smaller than the sum of its proper divisors (284865888).

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

126494880 is a wasteful number, since it uses less digits than its factorization.

126494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 126494880 is about 11246.9942651359. The cubic root of 126494880 is about 501.9852802253.

The spelling of 126494880 in words is "one hundred twenty-six million, four hundred ninety-four thousand, eight hundred eighty".