126819840 has 240 divisors, whose sum is σ = 473018832. Its totient is φ = 28901376.

The previous prime is 126819829. The next prime is 126819841. The reversal of 126819840 is 48918621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126819841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376152 + ... + 376488.

Almost surely, 2^126819840 is an apocalyptic number.

126819840 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 126819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236509416).

126819840 is an abundant number, since it is smaller than the sum of its proper divisors (346198992).

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

126819840 is an equidigital number, since it uses as much as digits as its factorization.

126819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 126819840 is about 11261.4315253435. The cubic root of 126819840 is about 502.4147723083.

The spelling of 126819840 in words is "one hundred twenty-six million, eight hundred nineteen thousand, eight hundred forty".