59040900 has 180 divisors, whose sum is σ = 197557668. Its totient is φ = 15240960.

The previous prime is 59040857. The next prime is 59040901. The reversal of 59040900 is 904095.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9253764 + 49787136 = 3042^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59040901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 299602 + ... + 299798.

Almost surely, 2^59040900 is an apocalyptic number.

59040900 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 59040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98778834).

59040900 is an abundant number, since it is smaller than the sum of its proper divisors (138516768).

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

59040900 is a wasteful number, since it uses less digits than its factorization.

59040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

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

The square root of 59040900 is about 7683.8076498569. The cubic root of 59040900 is about 389.3895776185.

Adding to 59040900 its reverse (904095), we get a palindrome (59944995).

The spelling of 59040900 in words is "fifty-nine million, forty thousand, nine hundred".