126290304 has 96 divisors (see below), whose sum is σ = 415356240. Its totient is φ = 36080640.

The previous prime is 126290279. The next prime is 126290323. The reversal of 126290304 is 403092621.

126290304 is a `hidden beast` number, since 1 + 2 + 629 + 0 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 15894.

Almost surely, 2^126290304 is an apocalyptic number.

126290304 is a gapful number since it is divisible by the number (14) 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 126290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207678120).

126290304 is an abundant number, since it is smaller than the sum of its proper divisors (289065936).

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

126290304 is a wasteful number, since it uses less digits than its factorization.

126290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15688 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126290304 is about 11237.8958884660. The cubic root of 126290304 is about 501.7145194594.

It can be divided in two parts, 126 and 290304, that multiplied together give a square (36578304 = 6048²).

The spelling of 126290304 in words is "one hundred twenty-six million, two hundred ninety thousand, three hundred four".