61409280 has 96 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 16367616.

The previous prime is 61409261. The next prime is 61409317. The reversal of 61409280 is 8290416.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29721 + ... + 31719.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^61409280 is an apocalyptic number.

61409280 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 61409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

61409280 is an abundant number, since it is smaller than the sum of its proper divisors (135150720).

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

61409280 is a wasteful number, since it uses less digits than its factorization.

61409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 61409280 is about 7836.4073401017. The cubic root of 61409280 is about 394.5281552736.

Adding to 61409280 its reverse (8290416), we get a palindrome (69699696).

The spelling of 61409280 in words is "sixty-one million, four hundred nine thousand, two hundred eighty".