59541440 has 112 divisors (see below), whose sum is σ = 170688000. Its totient is φ = 19325952.

The previous prime is 59541439. The next prime is 59541451. The reversal of 59541440 is 4414595.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 59541397 and 59541406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41861 + ... + 43259.

It is an arithmetic number, because the mean of its divisors is an integer number (1524000).

Almost surely, 2^59541440 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 59541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344000).

59541440 is an abundant number, since it is smaller than the sum of its proper divisors (111146560).

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

59541440 is a wasteful number, since it uses less digits than its factorization.

59541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 59541440 is about 7716.3099989568. The cubic root of 59541440 is about 390.4868782284.

The spelling of 59541440 in words is "fifty-nine million, five hundred forty-one thousand, four hundred forty".