61399200 has 72 divisors (see below), whose sum is σ = 199862208. Its totient is φ = 16372480.

The previous prime is 61399199. The next prime is 61399201. The reversal of 61399200 is 299316.

It is an interprime number because it is at equal distance from previous prime (61399199) and next prime (61399201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61399201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10392 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (2775864).

Almost surely, 2^61399200 is an apocalyptic number.

61399200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61399200 is an abundant number, since it is smaller than the sum of its proper divisors (138463008).

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

61399200 is a wasteful number, since it uses less digits than its factorization.

61399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25606 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 61399200 is about 7835.7641618415. The cubic root of 61399200 is about 394.5065675406.

The spelling of 61399200 in words is "sixty-one million, three hundred ninety-nine thousand, two hundred".