1829890656 has 96 divisors (see below), whose sum is σ = 5822409600. Its totient is φ = 554509440.

The previous prime is 1829890637. The next prime is 1829890679. The reversal of 1829890656 is 6560989281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1829890656² = 6696999625832220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86766 + ... + 105773.

It is an arithmetic number, because the mean of its divisors is an integer number (60650100).

Almost surely, 2^1829890656 is an apocalyptic number.

1829890656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1829890656 is an abundant number, since it is smaller than the sum of its proper divisors (3992518944).

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

1829890656 is a wasteful number, since it uses less digits than its factorization.

1829890656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192569 (or 192555 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1829890656 is about 42777.2212281256. The cubic root of 1829890656 is about 1223.1368385798.

The spelling of 1829890656 in words is "one billion, eight hundred twenty-nine million, eight hundred ninety thousand, six hundred fifty-six".