61537200 has 120 divisors (see below), whose sum is σ = 207576000. Its totient is φ = 15540480.

The previous prime is 61537193. The next prime is 61537207. The reversal of 61537200 is 273516.

It is an interprime number because it is at equal distance from previous prime (61537193) and next prime (61537207).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (61537207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21451 + ... + 24149.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^61537200 is an apocalyptic number.

61537200 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 61537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788000).

61537200 is an abundant number, since it is smaller than the sum of its proper divisors (146038800).

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

61537200 is a wasteful number, since it uses less digits than its factorization.

61537200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 61537200 is about 7844.5649974999. The cubic root of 61537200 is about 394.8019088998.

The spelling of 61537200 in words is "sixty-one million, five hundred thirty-seven thousand, two hundred".