61199424 has 168 divisors, whose sum is σ = 206361792. Its totient is φ = 17095680.

The previous prime is 61199423. The next prime is 61199431. The reversal of 61199424 is 42499116.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (61199423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81997 + ... + 82739.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^61199424 is an apocalyptic number.

61199424 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 61199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

61199424 is an abundant number, since it is smaller than the sum of its proper divisors (145162368).

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

61199424 is a wasteful number, since it uses less digits than its factorization.

61199424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61199424 is about 7823.0060718371. The cubic root of 61199424 is about 394.0782309206.

Adding to 61199424 its product of digits (15552), we get a square (61214976 = 7824²).

The spelling of 61199424 in words is "sixty-one million, one hundred ninety-nine thousand, four hundred twenty-four".