649819900 has 72 divisors (see below), whose sum is σ = 1533558096. Its totient is φ = 238003200.

The previous prime is 649819889. The next prime is 649819901. The reversal of 649819900 is 9918946.

It is a super-3 number, since 3×649819900³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649819901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57735 + ... + 68065.

It is an arithmetic number, because the mean of its divisors is an integer number (21299418).

Almost surely, 2^649819900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766779048).

649819900 is an abundant number, since it is smaller than the sum of its proper divisors (883738196).

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

649819900 is a wasteful number, since it uses less digits than its factorization.

649819900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 649819900 is about 25491.5652716737. The cubic root of 649819900 is about 866.1590929953.

It can be divided in two parts, 649819 and 900, that multiplied together give a triangular number (584837100 = T₃₄₂₀₀).

The spelling of 649819900 in words is "six hundred forty-nine million, eight hundred nineteen thousand, nine hundred".