5649120 has 72 divisors (see below), whose sum is σ = 19282536. Its totient is φ = 1506048.

The previous prime is 5649101. The next prime is 5649121. The reversal of 5649120 is 219465.

5649120 is a `hidden beast` number, since 5 + 649 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5649121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (267813).

Almost surely, 2^5649120 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 5649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641268).

5649120 is an abundant number, since it is smaller than the sum of its proper divisors (13633416).

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

5649120 is a wasteful number, since it uses less digits than its factorization.

5649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5649120 is about 2376.7877482013. The cubic root of 5649120 is about 178.0985020602.

The spelling of 5649120 in words is "five million, six hundred forty-nine thousand, one hundred twenty".