1900905084 has 120 divisors (see below), whose sum is σ = 5633498640. Its totient is φ = 554086656.

The previous prime is 1900905059. The next prime is 1900905109. The reversal of 1900905084 is 4805090091.

It is an interprime number because it is at equal distance from previous prime (1900905059) and next prime (1900905109).

It is a super-2 number, since 2×1900905084² = 7226880276754094112, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 68152 + ... + 91904.

It is an arithmetic number, because the mean of its divisors is an integer number (46945822).

Almost surely, 2^1900905084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900905084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816749320).

1900905084 is an abundant number, since it is smaller than the sum of its proper divisors (3732593556).

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

1900905084 is a wasteful number, since it uses less digits than its factorization.

1900905084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23801 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1900905084 is about 43599.3702248094. The cubic root of 1900905084 is about 1238.7589655941.

The spelling of 1900905084 in words is "one billion, nine hundred million, nine hundred five thousand, eighty-four".