126166440 has 64 divisors (see below), whose sum is σ = 380064960. Its totient is φ = 33505280.

The previous prime is 126166433. The next prime is 126166511. The reversal of 126166440 is 44661621.

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

It is a junction number, because it is equal to n+sod(n) for n = 126166398 and 126166407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28795 + ... + 32885.

It is an arithmetic number, because the mean of its divisors is an integer number (5938515).

Almost surely, 2^126166440 is an apocalyptic number.

126166440 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 126166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190032480).

126166440 is an abundant number, since it is smaller than the sum of its proper divisors (253898520).

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

126166440 is a wasteful number, since it uses less digits than its factorization.

126166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 126166440 is about 11232.3835404601. The cubic root of 126166440 is about 501.5504406316.

The spelling of 126166440 in words is "one hundred twenty-six million, one hundred sixty-six thousand, four hundred forty".