1649715840 has 192 divisors, whose sum is σ = 5881075200. Its totient is φ = 425687040.

The previous prime is 1649715829. The next prime is 1649715863. The reversal of 1649715840 is 485179461.

1649715840 is a `hidden beast` number, since 1 + 6 + 497 + 158 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173941 + ... + 183179.

It is an arithmetic number, because the mean of its divisors is an integer number (30630600).

Almost surely, 2^1649715840 is an apocalyptic number.

1649715840 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 1649715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940537600).

1649715840 is an abundant number, since it is smaller than the sum of its proper divisors (4231359360).

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

1649715840 is a wasteful number, since it uses less digits than its factorization.

1649715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1649715840 is about 40616.6941047644. The cubic root of 1649715840 is about 1181.5979117973.

The spelling of 1649715840 in words is "one billion, six hundred forty-nine million, seven hundred fifteen thousand, eight hundred forty".