61442304 has 144 divisors (see below), whose sum is σ = 204072960. Its totient is φ = 15943680.

The previous prime is 61442299. The next prime is 61442321. The reversal of 61442304 is 40324416.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58617 + ... + 59655.

Almost surely, 2^61442304 is an apocalyptic number.

61442304 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 61442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102036480).

61442304 is an abundant number, since it is smaller than the sum of its proper divisors (142630656).

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

61442304 is a wasteful number, since it uses less digits than its factorization.

61442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 61442304 is about 7838.5141449129. The cubic root of 61442304 is about 394.5988642554.

It can be divided in two parts, 6144 and 2304, that added together give a palindrome (8448).

The spelling of 61442304 in words is "sixty-one million, four hundred forty-two thousand, three hundred four".