1871834640 has 160 divisors (see below), whose sum is σ = 6616826496. Its totient is φ = 433643520.

The previous prime is 1871834633. The next prime is 1871834651. The reversal of 1871834640 is 464381781.

1871834640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1871834640⁴ (a number of 38 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1871834592 and 1871834601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35395 + ... + 70685.

Almost surely, 2^1871834640 is an apocalyptic number.

1871834640 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 1871834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308413248).

1871834640 is an abundant number, since it is smaller than the sum of its proper divisors (4744991856).

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

1871834640 is a wasteful number, since it uses less digits than its factorization.

1871834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35337 (or 35331 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1871834640 is about 43264.7043211900. The cubic root of 1871834640 is about 1232.4117397337.

The spelling of 1871834640 in words is "one billion, eight hundred seventy-one million, eight hundred thirty-four thousand, six hundred forty".