61395200 has 108 divisors (see below), whose sum is σ = 155685348. Its totient is φ = 23961600.

The previous prime is 61395199. The next prime is 61395227. The reversal of 61395200 is 259316.

It can be written as a sum of positive squares in 6 ways, for example, as 7929856 + 53465344 = 2816^2 + 7312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61395200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339110 + ... + 339290.

It is an arithmetic number, because the mean of its divisors is an integer number (1441531).

Almost surely, 2^61395200 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 61395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77842674).

61395200 is an abundant number, since it is smaller than the sum of its proper divisors (94290148).

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

61395200 is a wasteful number, since it uses less digits than its factorization.

61395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 61395200 is about 7835.5089177411. The cubic root of 61395200 is about 394.4980003251.

The spelling of 61395200 in words is "sixty-one million, three hundred ninety-five thousand, two hundred".