61192320 has 256 divisors, whose sum is σ = 232070400. Its totient is φ = 13418496.

The previous prime is 61192303. The next prime is 61192361. The reversal of 61192320 is 2329116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389682 + ... + 389838.

It is an arithmetic number, because the mean of its divisors is an integer number (906525).

Almost surely, 2^61192320 is an apocalyptic number.

61192320 is a gapful number since it is divisible by the number (60) 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 61192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116035200).

61192320 is an abundant number, since it is smaller than the sum of its proper divisors (170878080).

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

61192320 is a wasteful number, since it uses less digits than its factorization.

61192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 61192320 is about 7822.5520132499. The cubic root of 61192320 is about 394.0629821928.

The spelling of 61192320 in words is "sixty-one million, one hundred ninety-two thousand, three hundred twenty".