61948224 has 84 divisors (see below), whose sum is σ = 191245236. Its totient is φ = 19058688.

The previous prime is 61948207. The next prime is 61948231. The reversal of 61948224 is 42284916.

61948224 = T₁₇ + T₁₈ + ... + T₇₁₈.

It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 34574400 = 5232^2 + 5880^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3352 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (2276729).

Almost surely, 2^61948224 is an apocalyptic number.

61948224 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 61948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95622618).

61948224 is an abundant number, since it is smaller than the sum of its proper divisors (129297012).

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

61948224 is a wasteful number, since it uses less digits than its factorization.

61948224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8291 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61948224 is about 7870.7194080338. The cubic root of 61948224 is about 395.6789562013.

The spelling of 61948224 in words is "sixty-one million, nine hundred forty-eight thousand, two hundred twenty-four".