1649172100 has 81 divisors (see below), whose sum is σ = 3726312933. Its totient is φ = 633516000.

The previous prime is 1649172097. The next prime is 1649172169. The reversal of 1649172100 is 12719461.

The square root of 1649172100 is 40610.

It is a perfect power (a square), and thus also a powerful number.

1649172100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 593701956 + 1055470144 = 24366^2 + 32488^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 12589035 + ... + 12589165.

Almost surely, 2^1649172100 is an apocalyptic number.

1649172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1649172100 is the 40610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649172100

1649172100 is an abundant number, since it is smaller than the sum of its proper divisors (2077140833).

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

1649172100 is a wasteful number, since it uses less digits than its factorization.

1649172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The cubic root of 1649172100 is about 1181.4680808223.

The spelling of 1649172100 in words is "one billion, six hundred forty-nine million, one hundred seventy-two thousand, one hundred".