61409880 has 128 divisors (see below), whose sum is σ = 233971200. Its totient is φ = 14034816.

The previous prime is 61409879. The next prime is 61409917. The reversal of 61409880 is 8890416.

It is a happy number.

It is a super-2 number, since 2×61409880² = 7542346723228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3499 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (1827900).

Almost surely, 2^61409880 is an apocalyptic number.

61409880 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 61409880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116985600).

61409880 is an abundant number, since it is smaller than the sum of its proper divisors (172561320).

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

61409880 is a wasteful number, since it uses less digits than its factorization.

61409880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61409880 is about 7836.4456228573. The cubic root of 61409880 is about 394.5294401832.

The spelling of 61409880 in words is "sixty-one million, four hundred nine thousand, eight hundred eighty".