61500200 has 72 divisors (see below), whose sum is σ = 147407790. Its totient is φ = 23856000.

The previous prime is 61500199. The next prime is 61500211. The reversal of 61500200 is 200516.

61500200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27604516 + 33895684 = 5254^2 + 5822^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 866165 + ... + 866235.

Almost surely, 2^61500200 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 61500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73703895).

61500200 is an abundant number, since it is smaller than the sum of its proper divisors (85907590).

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

61500200 is a wasteful number, since it uses less digits than its factorization.

61500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 61500200 is about 7842.2063222030. The cubic root of 61500200 is about 394.7227665312.

Adding to 61500200 its reverse (200516), we get a palindrome (61700716).

The spelling of 61500200 in words is "sixty-one million, five hundred thousand, two hundred".