1010185840 has 160 divisors (see below), whose sum is σ = 2537694720. Its totient is φ = 373248000.

The previous prime is 1010185837. The next prime is 1010185853. The reversal of 1010185840 is 485810101.

1010185840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010185799 and 1010185808.

It is a congruent number.

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, 9267706 + ... + 9267814.

It is an arithmetic number, because the mean of its divisors is an integer number (15860592).

Almost surely, 2^1010185840 is an apocalyptic number.

1010185840 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 1010185840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268847360).

1010185840 is an abundant number, since it is smaller than the sum of its proper divisors (1527508880).

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

1010185840 is a wasteful number, since it uses less digits than its factorization.

1010185840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 1010185840 is about 31783.4208353978. The cubic root of 1010185840 is about 1003.3838168683.

Adding to 1010185840 its reverse (485810101), we get a palindrome (1495995941).

The spelling of 1010185840 in words is "one billion, ten million, one hundred eighty-five thousand, eight hundred forty".