59675040 has 144 divisors (see below), whose sum is σ = 210810600. Its totient is φ = 15353856.

The previous prime is 59674987. The next prime is 59675051. The reversal of 59675040 is 4057695.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 25522704 = 5844^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×59675040² = 7122220798003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59674986 and 59675004.

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 23 ways as a sum of consecutive naturals, for example, 41046 + ... + 42474.

Almost surely, 2^59675040 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 59675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300).

59675040 is an abundant number, since it is smaller than the sum of its proper divisors (151135560).

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

59675040 is a wasteful number, since it uses less digits than its factorization.

59675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 59675040 is about 7724.9621358295. The cubic root of 59675040 is about 390.7787202142.

The spelling of 59675040 in words is "fifty-nine million, six hundred seventy-five thousand, forty".