1820126784 has 168 divisors, whose sum is σ = 5631736768. Its totient is φ = 508078080.

The previous prime is 1820126783. The next prime is 1820126801. The reversal of 1820126784 is 4876210281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1820126783) 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, 12215542 + ... + 12215690.

Almost surely, 2^1820126784 is an apocalyptic number.

1820126784 is a gapful number since it is divisible by the number (14) 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 1820126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815868384).

1820126784 is an abundant number, since it is smaller than the sum of its proper divisors (3811609984).

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

1820126784 is an equidigital number, since it uses as much as digits as its factorization.

1820126784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1820126784 is about 42662.9439209251. The cubic root of 1820126784 is about 1220.9574996895.

The spelling of 1820126784 in words is "one billion, eight hundred twenty million, one hundred twenty-six thousand, seven hundred eighty-four".