61300224 has 120 divisors (see below), whose sum is σ = 180972792. Its totient is φ = 19968000.

The previous prime is 61300223. The next prime is 61300259. The reversal of 61300224 is 42200316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61300197 and 61300206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61300223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244099 + ... + 244349.

Almost surely, 2^61300224 is an apocalyptic number.

61300224 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 61300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90486396).

61300224 is an abundant number, since it is smaller than the sum of its proper divisors (119672568).

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

61300224 is a wasteful number, since it uses less digits than its factorization.

61300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61300224 is about 7829.4459574098. The cubic root of 61300224 is about 394.2944709550.

The spelling of 61300224 in words is "sixty-one million, three hundred thousand, two hundred twenty-four".