1831077864 has 288 divisors, whose sum is σ = 6514279200. Its totient is φ = 458922240.

The previous prime is 1831077779. The next prime is 1831077887. The reversal of 1831077864 is 4687701381.

It is a super-2 number, since 2×1831077864² = 6705692288061604992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1124619 + ... + 1126245.

It is an arithmetic number, because the mean of its divisors is an integer number (22619025).

Almost surely, 2^1831077864 is an apocalyptic number.

1831077864 is a gapful number since it is divisible by the number (14) 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 1831077864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257139600).

1831077864 is an abundant number, since it is smaller than the sum of its proper divisors (4683201336).

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

1831077864 is a wasteful number, since it uses less digits than its factorization.

1831077864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1831077864 is about 42791.0956157937. The cubic root of 1831077864 is about 1223.4012995391.

The spelling of 1831077864 in words is "one billion, eight hundred thirty-one million, seventy-seven thousand, eight hundred sixty-four".