61597200 has 120 divisors (see below), whose sum is σ = 225535168. Its totient is φ = 14077440.

The previous prime is 61597177. The next prime is 61597201. The reversal of 61597200 is 279516.

61597200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61597201) 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 23 ways as a sum of consecutive naturals, for example, 4734 + ... + 12066.

Almost surely, 2^61597200 is an apocalyptic number.

61597200 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 61597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112767584).

61597200 is an abundant number, since it is smaller than the sum of its proper divisors (163937968).

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

61597200 is a wasteful number, since it uses less digits than its factorization.

61597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 61597200 is about 7848.3883695954. The cubic root of 61597200 is about 394.9301804705.

The spelling of 61597200 in words is "sixty-one million, five hundred ninety-seven thousand, two hundred".