61573600 has 72 divisors (see below), whose sum is σ = 164005128. Its totient is φ = 22387200.

The previous prime is 61573597. The next prime is 61573601. The reversal of 61573600 is 637516.

61573600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×61573600³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61573601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5302 + ... + 12298.

It is an arithmetic number, because the mean of its divisors is an integer number (2277849).

Almost surely, 2^61573600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82002564).

61573600 is an abundant number, since it is smaller than the sum of its proper divisors (102431528).

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

61573600 is a wasteful number, since it uses less digits than its factorization.

61573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 61573600 is about 7846.8847321724. The cubic root of 61573600 is about 394.8797369286.

The spelling of 61573600 in words is "sixty-one million, five hundred seventy-three thousand, six hundred".