53124000 has 192 divisors, whose sum is σ = 183980160. Its totient is φ = 13363200.

The previous prime is 53123977. The next prime is 53124023. The reversal of 53124000 is 42135.

It is an interprime number because it is at equal distance from previous prime (53123977) and next prime (53124023).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227884 + ... + 228116.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^53124000 is an apocalyptic number.

53124000 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 53124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

53124000 is an abundant number, since it is smaller than the sum of its proper divisors (130856160).

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

53124000 is a wasteful number, since it uses less digits than its factorization.

53124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 53124000 is about 7288.6212687997. The cubic root of 53124000 is about 375.9212902998.

Adding to 53124000 its reverse (42135), we get a palindrome (53166135).

It can be divided in two parts, 531 and 24000, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 53124000 in words is "fifty-three million, one hundred twenty-four thousand".