649200 has 60 divisors (see below), whose sum is σ = 2083448. Its totient is φ = 172800.

The previous prime is 649183. The next prime is 649217. The reversal of 649200 is 2946.

It is an interprime number because it is at equal distance from previous prime (649183) and next prime (649217).

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

649200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 1470.

2⁶⁴⁹²⁰⁰ is an apocalyptic number.

649200 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 649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041724).

649200 is an abundant number, since it is smaller than the sum of its proper divisors (1434248).

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

649200 is a wasteful number, since it uses less digits than its factorization.

649200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 649200 is about 805.7294831393. The cubic root of 649200 is about 86.5883579298.

The spelling of 649200 in words is "six hundred forty-nine thousand, two hundred".