1649825100 has 648 divisors, whose sum is σ = 6946430400. Its totient is φ = 322963200.

The previous prime is 1649825071. The next prime is 1649825141. The reversal of 1649825100 is 15289461.

1649825100 is a `hidden beast` number, since 1 + 64 + 9 + 82 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9216811 + ... + 9216989.

It is an arithmetic number, because the mean of its divisors is an integer number (10719800).

Almost surely, 2^1649825100 is an apocalyptic number.

1649825100 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 1649825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473215200).

1649825100 is an abundant number, since it is smaller than the sum of its proper divisors (5296605300).

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

1649825100 is a wasteful number, since it uses less digits than its factorization.

1649825100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1649825100 is about 40618.0390959485. The cubic root of 1649825100 is about 1181.6239968023.

The spelling of 1649825100 in words is "one billion, six hundred forty-nine million, eight hundred twenty-five thousand, one hundred".