126801828 has 24 divisors (see below), whose sum is σ = 328745760. Its totient is φ = 42267240.

The previous prime is 126801823. The next prime is 126801841. The reversal of 126801828 is 828108621.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126801792 and 126801801.

It is not an unprimeable number, because it can be changed into a prime (126801823) 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, 586938 + ... + 587153.

It is an arithmetic number, because the mean of its divisors is an integer number (13697740).

Almost surely, 2^126801828 is an apocalyptic number.

126801828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126801828 is an abundant number, since it is smaller than the sum of its proper divisors (201943932).

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

126801828 is a wasteful number, since it uses less digits than its factorization.

126801828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174104 (or 1174096 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 126801828 is about 11260.6317762371. The cubic root of 126801828 is about 502.3909854851.

The spelling of 126801828 in words is "one hundred twenty-six million, eight hundred one thousand, eight hundred twenty-eight".