58640436 has 90 divisors (see below), whose sum is σ = 160616610. Its totient is φ = 18633888.

The previous prime is 58640431. The next prime is 58640453. The reversal of 58640436 is 63404685.

58640436 is a `hidden beast` number, since 5 + 8 + 640 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50552100 + 8088336 = 7110^2 + 2844^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 58640436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58640431) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 742245 + ... + 742323.

It is an arithmetic number, because the mean of its divisors is an integer number (1784629).

Almost surely, 2^58640436 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 58640436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80308305).

58640436 is an abundant number, since it is smaller than the sum of its proper divisors (101976174).

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

58640436 is a wasteful number, since it uses less digits than its factorization.

58640436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 58640436 is about 7657.7043557453. The cubic root of 58640436 is about 388.5071926636.

The spelling of 58640436 in words is "fifty-eight million, six hundred forty thousand, four hundred thirty-six".