1649887920 has 160 divisors (see below), whose sum is σ = 5699635200. Its totient is φ = 438679296.

The previous prime is 1649887913. The next prime is 1649887991. The reversal of 1649887920 is 297889461.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904129 + ... + 905951.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^1649887920 is an apocalyptic number.

1649887920 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 1649887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849817600).

1649887920 is an abundant number, since it is smaller than the sum of its proper divisors (4049747280).

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

1649887920 is a wasteful number, since it uses less digits than its factorization.

1649887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1649887920 is about 40618.8123903198. The cubic root of 1649887920 is about 1181.6389940844.

The spelling of 1649887920 in words is "one billion, six hundred forty-nine million, eight hundred eighty-seven thousand, nine hundred twenty".