61097872 has 40 divisors (see below), whose sum is σ = 132304032. Its totient is φ = 27091200.

The previous prime is 61097723. The next prime is 61097873. The reversal of 61097872 is 27879016.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61097873) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2983 + ... + 11449.

Almost surely, 2^61097872 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 61097872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66152016).

61097872 is an abundant number, since it is smaller than the sum of its proper divisors (71206160).

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

61097872 is a wasteful number, since it uses less digits than its factorization.

61097872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 61097872 is about 7816.5127774475. The cubic root of 61097872 is about 393.8601374273.

The spelling of 61097872 in words is "sixty-one million, ninety-seven thousand, eight hundred seventy-two".