126446520 has 128 divisors (see below), whose sum is σ = 412416000. Its totient is φ = 30896640.

The previous prime is 126446513. The next prime is 126446549. The reversal of 126446520 is 25644621.

It is a super-2 number, since 2×126446520² = 31977444840220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69786 + ... + 71574.

It is an arithmetic number, because the mean of its divisors is an integer number (3222000).

Almost surely, 2^126446520 is an apocalyptic number.

126446520 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 126446520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206208000).

126446520 is an abundant number, since it is smaller than the sum of its proper divisors (285969480).

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

126446520 is a wasteful number, since it uses less digits than its factorization.

126446520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 126446520 is about 11244.8441518769. The cubic root of 126446520 is about 501.9213010813.

The spelling of 126446520 in words is "one hundred twenty-six million, four hundred forty-six thousand, five hundred twenty".