1838168640 has 672 divisors, whose sum is σ = 8201217024. Its totient is φ = 380712960.

The previous prime is 1838168611. The next prime is 1838168677. The reversal of 1838168640 is 468618381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5987367 + ... + 5987673.

It is an arithmetic number, because the mean of its divisors is an integer number (12204192).

Almost surely, 2^1838168640 is an apocalyptic number.

1838168640 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 1838168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100608512).

1838168640 is an abundant number, since it is smaller than the sum of its proper divisors (6363048384).

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

1838168640 is a wasteful number, since it uses less digits than its factorization.

1838168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1838168640 is about 42873.8689646736. The cubic root of 1838168640 is about 1224.9784563753.

The spelling of 1838168640 in words is "one billion, eight hundred thirty-eight million, one hundred sixty-eight thousand, six hundred forty".