53820000 has 360 divisors, whose sum is σ = 214918704. Its totient is φ = 12672000.

The previous prime is 53819993. The next prime is 53820001. The reversal of 53820000 is 2835.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53820001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2339989 + ... + 2340011.

Almost surely, 2^53820000 is an apocalyptic number.

53820000 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 53820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107459352).

53820000 is an abundant number, since it is smaller than the sum of its proper divisors (161098704).

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

53820000 is a wasteful number, since it uses less digits than its factorization.

53820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53820000 is about 7336.2115563825. The cubic root of 53820000 is about 377.5558737817. Note that the first 3 decimals are identical.

Adding to 53820000 its reverse (2835), we get a palindrome (53822835).

The spelling of 53820000 in words is "fifty-three million, eight hundred twenty thousand".