61036800 has 324 divisors, whose sum is σ = 233432976. Its totient is φ = 13926400.

The previous prime is 61036757. The next prime is 61036841. The reversal of 61036800 is 863016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3590392 + ... + 3590408.

Almost surely, 2^61036800 is an apocalyptic number.

61036800 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 61036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116716488).

61036800 is an abundant number, since it is smaller than the sum of its proper divisors (172396176).

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

61036800 is a wasteful number, since it uses less digits than its factorization.

61036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61036800 is about 7812.6051992917. The cubic root of 61036800 is about 393.7288625589.

Adding to 61036800 its reverse (863016), we get a palindrome (61899816).

The spelling of 61036800 in words is "sixty-one million, thirty-six thousand, eight hundred".