61094880 has 576 divisors, whose sum is σ = 283046400. Its totient is φ = 11612160.

The previous prime is 61094867. The next prime is 61094897. The reversal of 61094880 is 8849016.

It is a happy number.

61094880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106706 + ... + 2106734.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^61094880 is an apocalyptic number.

61094880 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 61094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

61094880 is an abundant number, since it is smaller than the sum of its proper divisors (221951520).

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

61094880 is a wasteful number, since it uses less digits than its factorization.

61094880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

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

The square root of 61094880 is about 7816.3213854089. The cubic root of 61094880 is about 393.8537081321.

The spelling of 61094880 in words is "sixty-one million, ninety-four thousand, eight hundred eighty".