126728640 has 168 divisors, whose sum is σ = 442203840. Its totient is φ = 33306624.

The previous prime is 126728629. The next prime is 126728647. The reversal of 126728640 is 46827621.

126728640 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 8 + 640 = 666.

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 = 126728595 and 126728604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126728647) 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, 227242 + ... + 227798.

Almost surely, 2^126728640 is an apocalyptic number.

126728640 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 126728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

126728640 is an abundant number, since it is smaller than the sum of its proper divisors (315475200).

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

126728640 is a wasteful number, since it uses less digits than its factorization.

126728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126728640 is about 11257.3815783245. The cubic root of 126728640 is about 502.2943095184.

It can be divided in two parts, 12672 and 8640, that added together give a palindrome (21312).

The spelling of 126728640 in words is "one hundred twenty-six million, seven hundred twenty-eight thousand, six hundred forty".