61427400 has 96 divisors (see below), whose sum is σ = 195642240. Its totient is φ = 15932160.

The previous prime is 61427393. The next prime is 61427407. The reversal of 61427400 is 472416.

61427400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61427393) and next prime (61427407).

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

It is not an unprimeable number, because it can be changed into a prime (61427407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20817 + ... + 23583.

It is an arithmetic number, because the mean of its divisors is an integer number (2037940).

Almost surely, 2^61427400 is an apocalyptic number.

61427400 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 61427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97821120).

61427400 is an abundant number, since it is smaller than the sum of its proper divisors (134214840).

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

61427400 is a wasteful number, since it uses less digits than its factorization.

61427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 61427400 is about 7837.5633968728. The cubic root of 61427400 is about 394.5669558542.

Adding to 61427400 its reverse (472416), we get a palindrome (61899816).

The spelling of 61427400 in words is "sixty-one million, four hundred twenty-seven thousand, four hundred".