126580320 has 120 divisors (see below), whose sum is σ = 446768784. Its totient is φ = 33751296.

The previous prime is 126580313. The next prime is 126580327. The reversal of 126580320 is 23085621.

126580320 is a `hidden beast` number, since 1 + 2 + 658 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126580313) and next prime (126580327).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×126580320² = 32045154822604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126580327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8077 + ... + 17843.

Almost surely, 2^126580320 is an apocalyptic number.

126580320 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 126580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223384392).

126580320 is an abundant number, since it is smaller than the sum of its proper divisors (320188464).

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

126580320 is an equidigital number, since it uses as much as digits as its factorization.

126580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126580320 is about 11250.7919721236. The cubic root of 126580320 is about 502.0982754956.

The spelling of 126580320 in words is "one hundred twenty-six million, five hundred eighty thousand, three hundred twenty".