59940000 has 300 divisors, whose sum is σ = 226235394. Its totient is φ = 15552000.

The previous prime is 59939989. The next prime is 59940053. The reversal of 59940000 is 4995.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6533136 + 53406864 = 2556^2 + 7308^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

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 49 ways as a sum of consecutive naturals, for example, 1619982 + ... + 1620018.

Almost surely, 2^59940000 is an apocalyptic number.

59940000 is a gapful number since it is divisible by the number (50) 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 59940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113117697).

59940000 is an abundant number, since it is smaller than the sum of its proper divisors (166295394).

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

59940000 is an equidigital number, since it uses as much as digits as its factorization.

59940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 59940000 is about 7742.0927403384. The cubic root of 59940000 is about 391.3562250061.

Adding to 59940000 its reverse (4995), we get a palindrome (59944995).

The spelling of 59940000 in words is "fifty-nine million, nine hundred forty thousand".