126619040 has 48 divisors (see below), whose sum is σ = 314889120. Its totient is φ = 47980800.

The previous prime is 126619039. The next prime is 126619061. The reversal of 126619040 is 40916621.

It is a junction number, because it is equal to n+sod(n) for n = 126618994 and 126619012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17786 + ... + 23865.

It is an arithmetic number, because the mean of its divisors is an integer number (6560190).

Almost surely, 2^126619040 is an apocalyptic number.

126619040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126619040 is an abundant number, since it is smaller than the sum of its proper divisors (188270080).

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

126619040 is a wasteful number, since it uses less digits than its factorization.

126619040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41685 (or 41677 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 126619040 is about 11252.5126083022. The cubic root of 126619040 is about 502.1494663475.

The spelling of 126619040 in words is "one hundred twenty-six million, six hundred nineteen thousand, forty".