61641120 has 96 divisors (see below), whose sum is σ = 197914752. Its totient is φ = 16120832.

The previous prime is 61641119. The next prime is 61641121. The reversal of 61641120 is 2114616.

It is an interprime number because it is at equal distance from previous prime (61641119) and next prime (61641121).

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

It is not an unprimeable number, because it can be changed into a prime (61641121) 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 15 ways as a sum of consecutive naturals, for example, 24229 + ... + 26651.

It is an arithmetic number, because the mean of its divisors is an integer number (2061612).

Almost surely, 2^61641120 is an apocalyptic number.

61641120 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 61641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98957376).

61641120 is an abundant number, since it is smaller than the sum of its proper divisors (136273632).

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

61641120 is a wasteful number, since it uses less digits than its factorization.

61641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61641120 is about 7851.1858976845. The cubic root of 61641120 is about 395.0240224668.

Adding to 61641120 its reverse (2114616), we get a palindrome (63755736).

The spelling of 61641120 in words is "sixty-one million, six hundred forty-one thousand, one hundred twenty".