52671600 has 120 divisors (see below), whose sum is σ = 187510320. Its totient is φ = 14042880.

The previous prime is 52671589. The next prime is 52671607. The reversal of 52671600 is 617625.

52671600 is a `hidden beast` number, since 52 + 6 + 7 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52671607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8362 + ... + 13238.

It is an arithmetic number, because the mean of its divisors is an integer number (1562586).

Almost surely, 2^52671600 is an apocalyptic number.

52671600 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 52671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93755160).

52671600 is an abundant number, since it is smaller than the sum of its proper divisors (134838720).

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

52671600 is a wasteful number, since it uses less digits than its factorization.

52671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52671600 is about 7257.5202376569. The cubic root of 52671600 is about 374.8511409171.

The spelling of 52671600 in words is "fifty-two million, six hundred seventy-one thousand, six hundred".