61858224 has 120 divisors (see below), whose sum is σ = 190344960. Its totient is φ = 18665856.

The previous prime is 61858187. The next prime is 61858231. The reversal of 61858224 is 42285816.

It is a Cunningham number, because it is equal to 7865²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62437 + ... + 63419.

It is an arithmetic number, because the mean of its divisors is an integer number (1586208).

Almost surely, 2^61858224 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 61858224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480).

61858224 is an abundant number, since it is smaller than the sum of its proper divisors (128486736).

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

61858224 is a wasteful number, since it uses less digits than its factorization.

61858224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 61858224 is about 7864.9999364272. Note that the first 4 decimals coincide. The cubic root of 61858224 is about 395.4872457519.

The spelling of 61858224 in words is "sixty-one million, eight hundred fifty-eight thousand, two hundred twenty-four".