58791642 has 128 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 14466816.

The previous prime is 58791641. The next prime is 58791647. The reversal of 58791642 is 24619785.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (120960) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 58791594 and 58791603.

It is not an unprimeable number, because it can be changed into a prime (58791641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744159 + ... + 744237.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^58791642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58791642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

58791642 is an abundant number, since it is smaller than the sum of its proper divisors (96037158).

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

58791642 is a wasteful number, since it uses less digits than its factorization.

58791642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its digits is 120960, while the sum is 42.

The square root of 58791642 is about 7667.5708017598. The cubic root of 58791642 is about 388.8408316065.

It can be divided in two parts, 587 and 91642, that added together give a palindrome (92229).

The spelling of 58791642 in words is "fifty-eight million, seven hundred ninety-one thousand, six hundred forty-two".