200074560 has 224 divisors, whose sum is σ = 764682240. Its totient is φ = 43296768.

The previous prime is 200074559. The next prime is 200074561. The reversal of 200074560 is 65470002.

It is a happy number.

200074560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200074559) and next prime (200074561).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200074560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200074561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126897 + ... + 128463.

It is an arithmetic number, because the mean of its divisors is an integer number (3413760).

Almost surely, 2^200074560 is an apocalyptic number.

200074560 is a gapful number since it is divisible by the number (20) 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 200074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382341120).

200074560 is an abundant number, since it is smaller than the sum of its proper divisors (564607680).

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

200074560 is a wasteful number, since it uses less digits than its factorization.

200074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 200074560 is about 14144.7714721730. The cubic root of 200074560 is about 584.8762102013.

The spelling of 200074560 in words is "two hundred million, seventy-four thousand, five hundred sixty".