67561000 has 64 divisors (see below), whose sum is σ = 170286480. Its totient is φ = 24940800.

The previous prime is 67560971. The next prime is 67561003. The reversal of 67561000 is 16576.

It can be written as a sum of positive squares in 8 ways, for example, as 91204 + 67469796 = 302^2 + 8214^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67561003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10402 + ... + 15598.

Almost surely, 2^67561000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85143240).

67561000 is an abundant number, since it is smaller than the sum of its proper divisors (102725480).

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

67561000 is a wasteful number, since it uses less digits than its factorization.

67561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 67561000 is about 8219.5498660206. The cubic root of 67561000 is about 407.2852570236.

Adding to 67561000 its reverse (16576), we get a palindrome (67577576).

The spelling of 67561000 in words is "sixty-seven million, five hundred sixty-one thousand".