1649059632 has 360 divisors, whose sum is σ = 5433652224. Its totient is φ = 465696000.

The previous prime is 1649059631. The next prime is 1649059637. The reversal of 1649059632 is 2369509461.

1649059632 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 0 + 5 + 9 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (1649059631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23226157 + ... + 23226227.

Almost surely, 2^1649059632 is an apocalyptic number.

1649059632 is a gapful number since it is divisible by the number (12) 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 1649059632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716826112).

1649059632 is an abundant number, since it is smaller than the sum of its proper divisors (3784592592).

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

1649059632 is a wasteful number, since it uses less digits than its factorization.

1649059632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1649059632 is about 40608.6152435662. The cubic root of 1649059632 is about 1181.4412228263.

The spelling of 1649059632 in words is "one billion, six hundred forty-nine million, fifty-nine thousand, six hundred thirty-two".