126576160 has 48 divisors (see below), whose sum is σ = 303160536. Its totient is φ = 49932288.

The previous prime is 126576127. The next prime is 126576161. The reversal of 126576160 is 61675621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88284816 + 38291344 = 9396^2 + 6188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126576161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6262 + ... + 17098.

Almost surely, 2^126576160 is an apocalyptic number.

126576160 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 126576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580268).

126576160 is an abundant number, since it is smaller than the sum of its proper divisors (176584376).

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

126576160 is a wasteful number, since it uses less digits than its factorization.

126576160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 126576160 is about 11250.6070947305. The cubic root of 126576160 is about 502.0927750310.

It can be divided in two parts, 126576 and 160, that added together give a square (126736 = 356²).

The spelling of 126576160 in words is "one hundred twenty-six million, five hundred seventy-six thousand, one hundred sixty".