53349600 has 72 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 14225920.

The previous prime is 53349577. The next prime is 53349601. The reversal of 53349600 is 694335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53349601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8715 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^53349600 is an apocalyptic number.

53349600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53349600 is an abundant number, since it is smaller than the sum of its proper divisors (120311160).

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

53349600 is a wasteful number, since it uses less digits than its factorization.

53349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22252 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 53349600 is about 7304.0810510289. The cubic root of 53349600 is about 376.4526764609.

The spelling of 53349600 in words is "fifty-three million, three hundred forty-nine thousand, six hundred".