1835065680 has 480 divisors, whose sum is σ = 7163220096. Its totient is φ = 386039808.

The previous prime is 1835065651. The next prime is 1835065753. The reversal of 1835065680 is 865605381.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13394572 + ... + 13394708.

Almost surely, 2^1835065680 is an apocalyptic number.

1835065680 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 1835065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581610048).

1835065680 is an abundant number, since it is smaller than the sum of its proper divisors (5328154416).

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

1835065680 is a wasteful number, since it uses less digits than its factorization.

1835065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1835065680 is about 42837.6666031193. Note that the first 4 decimals coincide. The cubic root of 1835065680 is about 1224.2887844384.

The spelling of 1835065680 in words is "one billion, eight hundred thirty-five million, sixty-five thousand, six hundred eighty".