126824160 has 144 divisors (see below), whose sum is σ = 412712496. Its totient is φ = 32735232.

The previous prime is 126824153. The next prime is 126824161. The reversal of 126824160 is 61428621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126824161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657024 + ... + 657216.

It is an arithmetic number, because the mean of its divisors is an integer number (2866059).

Almost surely, 2^126824160 is an apocalyptic number.

126824160 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 126824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206356248).

126824160 is an abundant number, since it is smaller than the sum of its proper divisors (285888336).

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

126824160 is a wasteful number, since it uses less digits than its factorization.

126824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 126824160 is about 11261.6233288101. The cubic root of 126824160 is about 502.4204770076.

The spelling of 126824160 in words is "one hundred twenty-six million, eight hundred twenty-four thousand, one hundred sixty".