53812000 has 96 divisors (see below), whose sum is σ = 144353664. Its totient is φ = 19552000.

The previous prime is 53811991. The next prime is 53812091. The reversal of 53812000 is 21835.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43389 + ... + 44611.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^53812000 is an apocalyptic number.

53812000 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 53812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832).

53812000 is an abundant number, since it is smaller than the sum of its proper divisors (90541664).

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

53812000 is a wasteful number, since it uses less digits than its factorization.

53812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 53812000 is about 7335.6662955726. Note that the first 3 decimals coincide. The cubic root of 53812000 is about 377.5371657632.

Adding to 53812000 its reverse (21835), we get a palindrome (53833835).

It can be divided in two parts, 5381 and 2000, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 53812000 in words is "fifty-three million, eight hundred twelve thousand".