126903840 has 192 divisors, whose sum is σ = 461583360. Its totient is φ = 28707840.

The previous prime is 126903823. The next prime is 126903871. The reversal of 126903840 is 48309621.

It is a super-2 number, since 2×126903840² = 32209169213491200, which contains 22 as substring.

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, 601335 + ... + 601545.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080).

Almost surely, 2^126903840 is an apocalyptic number.

126903840 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 126903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230791680).

126903840 is an abundant number, since it is smaller than the sum of its proper divisors (334679520).

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

126903840 is a wasteful number, since it uses less digits than its factorization.

126903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 126903840 is about 11265.1604515870. The cubic root of 126903840 is about 502.5256737953.

The spelling of 126903840 in words is "one hundred twenty-six million, nine hundred three thousand, eight hundred forty".