61591104 has 105 divisors (see below), whose sum is σ = 184265697. Its totient is φ = 20342016.

The previous prime is 61591069. The next prime is 61591109. The reversal of 61591104 is 40119516.

The square root of 61591104 is 7848.

It is a perfect power (a square), and thus also a powerful number.

61591104 is a `hidden beast` number, since 61 + 591 + 10 + 4 = 666.

61591104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 18662400 = 6552^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61591109) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 565002 + ... + 565110.

Almost surely, 2^61591104 is an apocalyptic number.

61591104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61591104 is the 7848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61591104

61591104 is an abundant number, since it is smaller than the sum of its proper divisors (122674593).

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

61591104 is an equidigital number, since it uses as much as digits as its factorization.

61591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The cubic root of 61591104 is about 394.9171518815.

It can be divided in two parts, 615 and 91104, that added together give a palindrome (91719).

The spelling of 61591104 in words is "sixty-one million, five hundred ninety-one thousand, one hundred four".