126268040 has 16 divisors (see below), whose sum is σ = 284103180. Its totient is φ = 50507200.

The previous prime is 126268039. The next prime is 126268063. The reversal of 126268040 is 40862621.

It can be written as a sum of positive squares in 2 ways, for example, as 104571076 + 21696964 = 10226^2 + 4658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126267994 and 126268012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1578311 + ... + 1578390.

Almost surely, 2^126268040 is an apocalyptic number.

126268040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126268040 is an abundant number, since it is smaller than the sum of its proper divisors (157835140).

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

126268040 is a wasteful number, since it uses less digits than its factorization.

126268040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156712 (or 3156708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 126268040 is about 11236.9052679107. The cubic root of 126268040 is about 501.6850349353.

The spelling of 126268040 in words is "one hundred twenty-six million, two hundred sixty-eight thousand, forty".