126840810 has 64 divisors (see below), whose sum is σ = 314640000. Its totient is φ = 32700672.

The previous prime is 126840781. The next prime is 126840811. The reversal of 126840810 is 18048621.

It is a super-2 number, since 2×126840810² = 32177182162912200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126840811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253941 + ... + 254439.

It is an arithmetic number, because the mean of its divisors is an integer number (4916250).

Almost surely, 2^126840810 is an apocalyptic number.

126840810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126840810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157320000).

126840810 is an abundant number, since it is smaller than the sum of its proper divisors (187799190).

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

126840810 is a wasteful number, since it uses less digits than its factorization.

126840810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 126840810 is about 11262.3625407816. The cubic root of 126840810 is about 502.4424626579.

The spelling of 126840810 in words is "one hundred twenty-six million, eight hundred forty thousand, eight hundred ten".