59661440 has 64 divisors (see below), whose sum is σ = 144695160. Its totient is φ = 23519232.

The previous prime is 59661421. The next prime is 59661457. The reversal of 59661440 is 4416695.

It can be written as a sum of positive squares in 4 ways, for example, as 52649536 + 7011904 = 7256^2 + 2648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 59661440.

It is an unprimeable number.

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, 46082 + ... + 47358.

Almost surely, 2^59661440 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 59661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72347580).

59661440 is an abundant number, since it is smaller than the sum of its proper divisors (85033720).

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

59661440 is a wasteful number, since it uses less digits than its factorization.

59661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 59661440 is about 7724.0818224563. The cubic root of 59661440 is about 390.7490316745.

The spelling of 59661440 in words is "fifty-nine million, six hundred sixty-one thousand, four hundred forty".