61098144 has 48 divisors (see below), whose sum is σ = 162207360. Its totient is φ = 20134400.

The previous prime is 61098133. The next prime is 61098173. The reversal of 61098144 is 44189016.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4969 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (3379320).

Almost surely, 2^61098144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81103680).

61098144 is an abundant number, since it is smaller than the sum of its proper divisors (101109216).

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

61098144 is a wasteful number, since it uses less digits than its factorization.

61098144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 61098144 is about 7816.5301764914. The cubic root of 61098144 is about 393.8607218983.

The spelling of 61098144 in words is "sixty-one million, ninety-eight thousand, one hundred forty-four".