52670800 has 120 divisors (see below), whose sum is σ = 155851136. Its totient is φ = 16657920.

The previous prime is 52670789. The next prime is 52670833. The reversal of 52670800 is 807625.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 35677 + ... + 37123.

Almost surely, 2^52670800 is an apocalyptic number.

52670800 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 52670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77925568).

52670800 is an abundant number, since it is smaller than the sum of its proper divisors (103180336).

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

52670800 is a wasteful number, since it uses less digits than its factorization.

52670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 52670800 is about 7257.4651222035. The cubic root of 52670800 is about 374.8492431048.

The spelling of 52670800 in words is "fifty-two million, six hundred seventy thousand, eight hundred".