67561200 has 270 divisors, whose sum is σ = 273446784. Its totient is φ = 15402240.

The previous prime is 67561199. The next prime is 67561201. The reversal of 67561200 is 216576.

It is an interprime number because it is at equal distance from previous prime (67561199) and next prime (67561201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67561201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176209 + ... + 176591.

Almost surely, 2^67561200 is an apocalyptic number.

67561200 is a gapful number since it is divisible by the number (60) 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 67561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723392).

67561200 is an abundant number, since it is smaller than the sum of its proper divisors (205885584).

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

67561200 is a wasteful number, since it uses less digits than its factorization.

67561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

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

The square root of 67561200 is about 8219.5620321280. The cubic root of 67561200 is about 407.2856589170.

Adding to 67561200 its reverse (216576), we get a palindrome (67777776).

The spelling of 67561200 in words is "sixty-seven million, five hundred sixty-one thousand, two hundred".