1649895984 has 270 divisors, whose sum is σ = 5335244460. Its totient is φ = 475559040.

The previous prime is 1649895979. The next prime is 1649895991. The reversal of 1649895984 is 4895989461.

1649895984 is a `hidden beast` number, since 16 + 498 + 9 + 59 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9217207 + ... + 9217385.

Almost surely, 2^1649895984 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 1649895984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667622230).

1649895984 is an abundant number, since it is smaller than the sum of its proper divisors (3685348476).

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

1649895984 is a wasteful number, since it uses less digits than its factorization.

1649895984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 218 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The square root of 1649895984 is about 40618.9116545483. The cubic root of 1649895984 is about 1181.6409192094.

The spelling of 1649895984 in words is "one billion, six hundred forty-nine million, eight hundred ninety-five thousand, nine hundred eighty-four".