61880208 has 80 divisors (see below), whose sum is σ = 173697216. Its totient is φ = 18869760.

The previous prime is 61880191. The next prime is 61880209. The reversal of 61880208 is 80208816.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61880209) 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, 81366 + ... + 82122.

Almost surely, 2^61880208 is an apocalyptic number.

61880208 is the 4542-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61880208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86848608).

61880208 is an abundant number, since it is smaller than the sum of its proper divisors (111817008).

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

61880208 is a wasteful number, since it uses less digits than its factorization.

61880208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 61880208 is about 7866.3973965215. The cubic root of 61880208 is about 395.5340913788.

The spelling of 61880208 in words is "sixty-one million, eight hundred eighty thousand, two hundred eight".