61874208 has 72 divisors (see below), whose sum is σ = 191960496. Its totient is φ = 18748800.

The previous prime is 61874201. The next prime is 61874221. The reversal of 61874208 is 80247816.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (61874201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6598 + ... + 12933.

It is an arithmetic number, because the mean of its divisors is an integer number (2666118).

Almost surely, 2^61874208 is an apocalyptic number.

It is an amenable number.

61874208 is an abundant number, since it is smaller than the sum of its proper divisors (130086288).

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

61874208 is a wasteful number, since it uses less digits than its factorization.

61874208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19558 (or 19547 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 61874208 is about 7866.0160182903. The cubic root of 61874208 is about 395.5213071013.

The spelling of 61874208 in words is "sixty-one million, eight hundred seventy-four thousand, two hundred eight".