56674200 has 192 divisors, whose sum is σ = 198558720. Its totient is φ = 13248000.

The previous prime is 56674199. The next prime is 56674201. The reversal of 56674200 is 247665.

It is an interprime number because it is at equal distance from previous prime (56674199) and next prime (56674201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56674201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204462 + ... + 204738.

It is an arithmetic number, because the mean of its divisors is an integer number (1034160).

Almost surely, 2^56674200 is an apocalyptic number.

56674200 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 56674200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99279360).

56674200 is an abundant number, since it is smaller than the sum of its proper divisors (141884520).

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

56674200 is a wasteful number, since it uses less digits than its factorization.

56674200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 56674200 is about 7528.2268828722. The cubic root of 56674200 is about 384.1154709161.

The spelling of 56674200 in words is "fifty-six million, six hundred seventy-four thousand, two hundred".