61876224 has 120 divisors (see below), whose sum is σ = 185315130. Its totient is φ = 20570112.

The previous prime is 61876223. The next prime is 61876229. The reversal of 61876224 is 42267816.

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 10036224 = 7200^2 + 3168^2 .

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 (61876223) 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 9 ways as a sum of consecutive naturals, for example, 165702 + ... + 166074.

Almost surely, 2^61876224 is an apocalyptic number.

61876224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92657565).

61876224 is an abundant number, since it is smaller than the sum of its proper divisors (123438906).

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

61876224 is an equidigital number, since it uses as much as digits as its factorization.

61876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 378 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 61876224 is about 7866.1441634387. The cubic root of 61876224 is about 395.5256027107.

The spelling of 61876224 in words is "sixty-one million, eight hundred seventy-six thousand, two hundred twenty-four".