649101600 has 576 divisors, whose sum is σ = 2767322880. Its totient is φ = 145566720.

The previous prime is 649101587. The next prime is 649101601. The reversal of 649101600 is 6101946.

649101600 is a `hidden beast` number, since 6 + 49 + 10 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (649101601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12247174 + ... + 12247226.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2^649101600 is an apocalyptic number.

649101600 is a gapful number since it is divisible by the number (60) 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 649101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383661440).

649101600 is an abundant number, since it is smaller than the sum of its proper divisors (2118221280).

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

649101600 is an equidigital number, since it uses as much as digits as its factorization.

649101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 649101600 is about 25477.4724021046. The cubic root of 649101600 is about 865.8398294271.

The spelling of 649101600 in words is "six hundred forty-nine million, one hundred one thousand, six hundred".