126933840 has 360 divisors, whose sum is σ = 493968384. Its totient is φ = 29145600.

The previous prime is 126933823. The next prime is 126933901. The reversal of 126933840 is 48339621.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×126933840² = 32224399474291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126933795 and 126933804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2700697 + ... + 2700743.

Almost surely, 2^126933840 is an apocalyptic number.

126933840 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 126933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

126933840 is an abundant number, since it is smaller than the sum of its proper divisors (367034544).

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

126933840 is a wasteful number, since it uses less digits than its factorization.

126933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 126933840 is about 11266.4919118597. The cubic root of 126933840 is about 502.5652696090.

The spelling of 126933840 in words is "one hundred twenty-six million, nine hundred thirty-three thousand, eight hundred forty".