53801600 has 192 divisors, whose sum is σ = 150258240. Its totient is φ = 18923520.

The previous prime is 53801567. The next prime is 53801609. The reversal of 53801600 is 610835.

It is a super-2 number, since 2×53801600² = 5789224325120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (53801609) 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 23 ways as a sum of consecutive naturals, for example, 1251179 + ... + 1251221.

It is an arithmetic number, because the mean of its divisors is an integer number (782595).

Almost surely, 2^53801600 is an apocalyptic number.

53801600 is a gapful number since it is divisible by the number (50) 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 53801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

53801600 is an abundant number, since it is smaller than the sum of its proper divisors (96456640).

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

53801600 is a wasteful number, since it uses less digits than its factorization.

53801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 53801600 is about 7334.9573959226. The cubic root of 53801600 is about 377.5128425671.

The spelling of 53801600 in words is "fifty-three million, eight hundred one thousand, six hundred".