126903600 has 90 divisors (see below), whose sum is σ = 440403236. Its totient is φ = 33840000.

The previous prime is 126903593. The next prime is 126903613. The reversal of 126903600 is 6309621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×126903600² = 32209047385920000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 14026 + ... + 21225.

Almost surely, 2^126903600 is an apocalyptic number.

126903600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126903600 is an abundant number, since it is smaller than the sum of its proper divisors (313499636).

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

126903600 is a wasteful number, since it uses less digits than its factorization.

126903600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35275 (or 35261 counting only the distinct ones).

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

The square root of 126903600 is about 11265.1497992703. The cubic root of 126903600 is about 502.5253570036.

It can be divided in two parts, 12690 and 3600, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 126903600 in words is "one hundred twenty-six million, nine hundred three thousand, six hundred".