1904610816 has 120 divisors (see below), whose sum is σ = 5645904264. Its totient is φ = 617656320.

The previous prime is 1904610791. The next prime is 1904610821. The reversal of 1904610816 is 6180164091.

It is a happy number.

1904610816 is a `hidden beast` number, since 190 + 461 + 0 + 8 + 1 + 6 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164911 + ... + 176081.

Almost surely, 2^1904610816 is an apocalyptic number.

1904610816 is a gapful number since it is divisible by the number (16) 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 1904610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822952132).

1904610816 is an abundant number, since it is smaller than the sum of its proper divisors (3741293448).

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

1904610816 is a wasteful number, since it uses less digits than its factorization.

1904610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1904610816 is about 43641.8470736517. The cubic root of 1904610816 is about 1239.5634120312.

The spelling of 1904610816 in words is "one billion, nine hundred four million, six hundred ten thousand, eight hundred sixteen".