53349120 has 216 divisors, whose sum is σ = 201840912. Its totient is φ = 12902400.

The previous prime is 53349119. The next prime is 53349133. The reversal of 53349120 is 2194335.

53349120 is a `hidden beast` number, since 533 + 4 + 9 + 120 = 666.

It is a super-2 number, since 2×53349120² = 5692257209548800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126510 + ... + 126930.

Almost surely, 2^53349120 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 53349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100920456).

53349120 is an abundant number, since it is smaller than the sum of its proper divisors (148491792).

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

53349120 is a wasteful number, since it uses less digits than its factorization.

53349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53349120 is about 7304.0481926121. The cubic root of 53349120 is about 376.4515474439.

The spelling of 53349120 in words is "fifty-three million, three hundred forty-nine thousand, one hundred twenty".