61640160 has 96 divisors (see below), whose sum is σ = 195283872. Its totient is φ = 16343040.

The previous prime is 61640153. The next prime is 61640177. The reversal of 61640160 is 6104616.

61640160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61640160.

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 15 ways as a sum of consecutive naturals, for example, 134652 + ... + 135108.

It is an arithmetic number, because the mean of its divisors is an integer number (2034207).

Almost surely, 2^61640160 is an apocalyptic number.

61640160 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 61640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97641936).

61640160 is an abundant number, since it is smaller than the sum of its proper divisors (133643712).

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

61640160 is a wasteful number, since it uses less digits than its factorization.

61640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61640160 is about 7851.1247601856. The cubic root of 61640160 is about 395.0219717522.

Adding to 61640160 its reverse (6104616), we get a palindrome (67744776).

The spelling of 61640160 in words is "sixty-one million, six hundred forty thousand, one hundred sixty".