61845504 has 104 divisors (see below), whose sum is σ = 188720640. Its totient is φ = 17645568.

The previous prime is 61845503. The next prime is 61845529. The reversal of 61845504 is 40554816.

It is not an unprimeable number, because it can be changed into a prime (61845503) 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 7 ways as a sum of consecutive naturals, for example, 85657 + ... + 86375.

Almost surely, 2^61845504 is an apocalyptic number.

61845504 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 61845504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360320).

61845504 is an abundant number, since it is smaller than the sum of its proper divisors (126875136).

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

61845504 is an equidigital number, since it uses as much as digits as its factorization.

61845504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 61845504 is about 7864.1912489461. The cubic root of 61845504 is about 395.4601356805.

The spelling of 61845504 in words is "sixty-one million, eight hundred forty-five thousand, five hundred four".