126403920 has 90 divisors (see below), whose sum is σ = 425522058. Its totient is φ = 33627264.

The previous prime is 126403913. The next prime is 126403973. The reversal of 126403920 is 29304621.

126403920 is a `hidden beast` number, since 12 + 640 + 3 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101123136 + 25280784 = 10056^2 + 5028^2 .

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

It is a congruent number.

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, 301471 + ... + 301889.

Almost surely, 2^126403920 is an apocalyptic number.

126403920 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 126403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212761029).

126403920 is an abundant number, since it is smaller than the sum of its proper divisors (299118138).

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

126403920 is an equidigital number, since it uses as much as digits as its factorization.

126403920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 429 counting only the distinct ones).

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

The square root of 126403920 is about 11242.9497908689. The cubic root of 126403920 is about 501.8649287665.

The spelling of 126403920 in words is "one hundred twenty-six million, four hundred three thousand, nine hundred twenty".