1830913920 has 576 divisors, whose sum is σ = 7237732320. Its totient is φ = 425779200.

The previous prime is 1830913907. The next prime is 1830913951. The reversal of 1830913920 is 293190381.

1830913920 is a `hidden beast` number, since 183 + 0 + 91 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 25787485 + ... + 25787555.

Almost surely, 2^1830913920 is an apocalyptic number.

1830913920 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 1830913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618866160).

1830913920 is an abundant number, since it is smaller than the sum of its proper divisors (5406818400).

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

1830913920 is a wasteful number, since it uses less digits than its factorization.

1830913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1830913920 is about 42789.1799407280. The cubic root of 1830913920 is about 1223.3647863842.

The spelling of 1830913920 in words is "one billion, eight hundred thirty million, nine hundred thirteen thousand, nine hundred twenty".