126330840 has 192 divisors, whose sum is σ = 437542560. Its totient is φ = 32762880.

The previous prime is 126330823. The next prime is 126330847. The reversal of 126330840 is 48033621.

It is a happy number.

It is a super-2 number, since 2×126330840² = 31918962270211200, 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 (126330847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398362 + ... + 398678.

Almost surely, 2^126330840 is an apocalyptic number.

126330840 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 126330840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218771280).

126330840 is an abundant number, since it is smaller than the sum of its proper divisors (311211720).

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

126330840 is a wasteful number, since it uses less digits than its factorization.

126330840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126330840 is about 11239.6992842335. The cubic root of 126330840 is about 501.7681929497.

The spelling of 126330840 in words is "one hundred twenty-six million, three hundred thirty thousand, eight hundred forty".