126540828 has 72 divisors (see below), whose sum is σ = 327272400. Its totient is φ = 41216256.

The previous prime is 126540797. The next prime is 126540829. The reversal of 126540828 is 828045621.

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 = 126540792 and 126540801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126540829) 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, 470278 + ... + 470546.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2^126540828 is an apocalyptic number.

126540828 is a gapful number since it is divisible by the number (18) 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 126540828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163636200).

126540828 is an abundant number, since it is smaller than the sum of its proper divisors (200731572).

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

126540828 is a wasteful number, since it uses less digits than its factorization.

126540828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 126540828 is about 11249.0367587629. The cubic root of 126540828 is about 502.0460532450.

The spelling of 126540828 in words is "one hundred twenty-six million, five hundred forty thousand, eight hundred twenty-eight".