61949200 has 30 divisors (see below), whose sum is σ = 148833914. Its totient is φ = 24779520.

The previous prime is 61949183. The next prime is 61949201. The reversal of 61949200 is 294916.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3701776 + 58247424 = 1924^2 + 7632^2 .

It is not an unprimeable number, because it can be changed into a prime (61949201) 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, 77037 + ... + 77836.

Almost surely, 2^61949200 is an apocalyptic number.

It is an amenable number.

61949200 is an abundant number, since it is smaller than the sum of its proper divisors (86884714).

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

61949200 is a wasteful number, since it uses less digits than its factorization.

61949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154891 (or 154880 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 61949200 is about 7870.7814097458. The cubic root of 61949200 is about 395.6810341765.

The spelling of 61949200 in words is "sixty-one million, nine hundred forty-nine thousand, two hundred".