61589040 has 80 divisors (see below), whose sum is σ = 197532000. Its totient is φ = 15855616.

The previous prime is 61589039. The next prime is 61589041. The reversal of 61589040 is 4098516.

61589040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61589039) and next prime (61589041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 61588992 and 61589010.

It is not an unprimeable number, because it can be changed into a prime (61589041) 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 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 11384.

It is an arithmetic number, because the mean of its divisors is an integer number (2469150).

Almost surely, 2^61589040 is an apocalyptic number.

61589040 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 61589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98766000).

61589040 is an abundant number, since it is smaller than the sum of its proper divisors (135942960).

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

61589040 is a wasteful number, since it uses less digits than its factorization.

61589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 61589040 is about 7847.8685004274. The cubic root of 61589040 is about 394.9127404322.

The spelling of 61589040 in words is "sixty-one million, five hundred eighty-nine thousand, forty".