126828240 has 160 divisors (see below), whose sum is σ = 490254336. Its totient is φ = 26350080.

The previous prime is 126828239. The next prime is 126828241. The reversal of 126828240 is 42828621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126828239) and next prime (126828241).

It is a super-2 number, since 2×126828240² = 32170804922995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126828241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15049 + ... + 21911.

Almost surely, 2^126828240 is an apocalyptic number.

126828240 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 126828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).

126828240 is an abundant number, since it is smaller than the sum of its proper divisors (363426096).

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

126828240 is a wasteful number, since it uses less digits than its factorization.

126828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 126828240 is about 11261.8044735291. The cubic root of 126828240 is about 502.4258646603.

The spelling of 126828240 in words is "one hundred twenty-six million, eight hundred twenty-eight thousand, two hundred forty".