649682880 has 672 divisors, whose sum is σ = 2802014208. Its totient is φ = 124354560.

The previous prime is 649682867. The next prime is 649682881. The reversal of 649682880 is 88286946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649682881) 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, 13823017 + ... + 13823063.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2^649682880 is an apocalyptic number.

649682880 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 649682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401007104).

649682880 is an abundant number, since it is smaller than the sum of its proper divisors (2152331328).

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

649682880 is a wasteful number, since it uses less digits than its factorization.

649682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 649682880 is about 25488.8775743460. The cubic root of 649682880 is about 866.0982097354.

The spelling of 649682880 in words is "six hundred forty-nine million, six hundred eighty-two thousand, eight hundred eighty".