126090360 has 192 divisors, whose sum is σ = 473597280. Its totient is φ = 28753920.

The previous prime is 126090337. The next prime is 126090373. The reversal of 126090360 is 63090621.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66384 + ... + 68256.

Almost surely, 2^126090360 is an apocalyptic number.

126090360 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 126090360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236798640).

126090360 is an abundant number, since it is smaller than the sum of its proper divisors (347506920).

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

126090360 is a wasteful number, since it uses less digits than its factorization.

126090360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 126090360 is about 11228.9963932669. The cubic root of 126090360 is about 501.4496065535.

The spelling of 126090360 in words is "one hundred twenty-six million, ninety thousand, three hundred sixty".