61867008 has 198 divisors, whose sum is σ = 209322126. Its totient is φ = 17547264.

The previous prime is 61867007. The next prime is 61867027. The reversal of 61867008 is 80076816.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 7225344 = 7392^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61867007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451516 + ... + 451652.

Almost surely, 2^61867008 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 61867008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104661063).

61867008 is an abundant number, since it is smaller than the sum of its proper divisors (147455118).

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

61867008 is a wasteful number, since it uses less digits than its factorization.

61867008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 61867008 is about 7865.5583400036. The cubic root of 61867008 is about 395.5059648773.

The spelling of 61867008 in words is "sixty-one million, eight hundred sixty-seven thousand, eight".