61361300 has 144 divisors (see below), whose sum is σ = 179071872. Its totient is φ = 17625600.

The previous prime is 61361257. The next prime is 61361351. The reversal of 61361300 is 316316.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99794 + ... + 100406.

Almost surely, 2^61361300 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 61361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535936).

61361300 is an abundant number, since it is smaller than the sum of its proper divisors (117710572).

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

61361300 is a wasteful number, since it uses less digits than its factorization.

61361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 61361300 is about 7833.3453900616. The cubic root of 61361300 is about 394.4253782286.

Adding to 61361300 its reverse (316316), we get a palindrome (61677616).

It can be divided in two parts, 613 and 61300, that multiplied together give a square (37576900 = 6130²).

The spelling of 61361300 in words is "sixty-one million, three hundred sixty-one thousand, three hundred".