61491200 has 72 divisors (see below), whose sum is σ = 152587890. Its totient is φ = 24576000.

The previous prime is 61491119. The next prime is 61491203. The reversal of 61491200 is 219416.

It is a happy number.

61491200 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 23348224 + 38142976 = 4832^2 + 6176^2 .

It is not an unprimeable number, because it can be changed into a prime (61491203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50600 + ... + 51800.

Almost surely, 2^61491200 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 61491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76293945).

61491200 is an abundant number, since it is smaller than the sum of its proper divisors (91096690).

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

61491200 is a wasteful number, since it uses less digits than its factorization.

61491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 61491200 is about 7841.6324830994. The cubic root of 61491200 is about 394.7035108854.

The spelling of 61491200 in words is "sixty-one million, four hundred ninety-one thousand, two hundred".