126428610 has 128 divisors (see below), whose sum is σ = 381542400. Its totient is φ = 26046720.

The previous prime is 126428591. The next prime is 126428611. The reversal of 126428610 is 16824621.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126428611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528871 + ... + 529109.

It is an arithmetic number, because the mean of its divisors is an integer number (2980800).

Almost surely, 2^126428610 is an apocalyptic number.

126428610 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 126428610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190771200).

126428610 is an abundant number, since it is smaller than the sum of its proper divisors (255113790).

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

126428610 is a wasteful number, since it uses less digits than its factorization.

126428610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 126428610 is about 11244.0477587033. The cubic root of 126428610 is about 501.8976024326.

The spelling of 126428610 in words is "one hundred twenty-six million, four hundred twenty-eight thousand, six hundred ten".