61271400 has 96 divisors (see below), whose sum is σ = 201147840. Its totient is φ = 15375360.

The previous prime is 61271393. The next prime is 61271401. The reversal of 61271400 is 417216.

It is not an unprimeable number, because it can be changed into a prime (61271401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197 + ... + 13203.

It is an arithmetic number, because the mean of its divisors is an integer number (2095290).

Almost surely, 2^61271400 is an apocalyptic number.

61271400 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 61271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100573920).

61271400 is an abundant number, since it is smaller than the sum of its proper divisors (139876440).

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

61271400 is a wasteful number, since it uses less digits than its factorization.

61271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 61271400 is about 7827.6049976988. The cubic root of 61271400 is about 394.2326608186.

Adding to 61271400 its reverse (417216), we get a palindrome (61688616).

The spelling of 61271400 in words is "sixty-one million, two hundred seventy-one thousand, four hundred".