126464580 has 144 divisors (see below), whose sum is σ = 436834944. Its totient is φ = 29314560.

The previous prime is 126464579. The next prime is 126464609. The reversal of 126464580 is 85464621.

126464580 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 645 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44152 + ... + 46928.

It is an arithmetic number, because the mean of its divisors is an integer number (3033576).

Almost surely, 2^126464580 is an apocalyptic number.

126464580 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 126464580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218417472).

126464580 is an abundant number, since it is smaller than the sum of its proper divisors (310370364).

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

126464580 is a wasteful number, since it uses less digits than its factorization.

126464580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 126464580 is about 11245.6471579007. The cubic root of 126464580 is about 501.9451959452.

The spelling of 126464580 in words is "one hundred twenty-six million, four hundred sixty-four thousand, five hundred eighty".