649605000 has 320 divisors, whose sum is σ = 2303262720. Its totient is φ = 151200000.

The previous prime is 649604993. The next prime is 649605029. The reversal of 649605000 is 506946.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5114937 + ... + 5115063.

It is an arithmetic number, because the mean of its divisors is an integer number (7197696).

Almost surely, 2^649605000 is an apocalyptic number.

649605000 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 649605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151631360).

649605000 is an abundant number, since it is smaller than the sum of its proper divisors (1653657720).

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

649605000 is a wasteful number, since it uses less digits than its factorization.

649605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 649605000 is about 25487.3498033829. The cubic root of 649605000 is about 866.0636008382.

The spelling of 649605000 in words is "six hundred forty-nine million, six hundred five thousand".