1649928960 has 144 divisors (see below), whose sum is σ = 5855078880. Its totient is φ = 439971840.

The previous prime is 1649928953. The next prime is 1649928961. The reversal of 1649928960 is 698299461.

1649928960 is a `hidden beast` number, since 16 + 499 + 2 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1649928897 and 1649928906.

It is not an unprimeable number, because it can be changed into a prime (1649928961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10690 + ... + 58430.

It is an arithmetic number, because the mean of its divisors is an integer number (40660270).

Almost surely, 2^1649928960 is an apocalyptic number.

1649928960 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 1649928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927539440).

1649928960 is an abundant number, since it is smaller than the sum of its proper divisors (4205149920).

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

1649928960 is an equidigital number, since it uses as much as digits as its factorization.

1649928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47771 (or 47751 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1649928960 is about 40619.3175718155. The cubic root of 1649928960 is about 1181.6487915302.

The spelling of 1649928960 in words is "one billion, six hundred forty-nine million, nine hundred twenty-eight thousand, nine hundred sixty".