52614000 has 240 divisors, whose sum is σ = 191118720. Its totient is φ = 13478400.

The previous prime is 52613993. The next prime is 52614011. The reversal of 52614000 is 41625.

It is a happy number.

52614000 is a `hidden beast` number, since 5 + 261 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665961 + ... + 666039.

It is an arithmetic number, because the mean of its divisors is an integer number (796328).

Almost surely, 2^52614000 is an apocalyptic number.

52614000 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 52614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95559360).

52614000 is an abundant number, since it is smaller than the sum of its proper divisors (138504720).

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

52614000 is a wasteful number, since it uses less digits than its factorization.

52614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

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

The square root of 52614000 is about 7253.5508545815. The cubic root of 52614000 is about 374.7144492840.

Adding to 52614000 its reverse (41625), we get a palindrome (52655625).

It can be divided in two parts, 5261 and 4000, that added together give a cube (9261 = 21³).

The spelling of 52614000 in words is "fifty-two million, six hundred fourteen thousand".