58967440 has 80 divisors (see below), whose sum is σ = 162132480. Its totient is φ = 19514880.

The previous prime is 58967401. The next prime is 58967443. The reversal of 58967440 is 4476985.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (58967443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14425 + ... + 18055.

It is an arithmetic number, because the mean of its divisors is an integer number (2026656).

Almost surely, 2^58967440 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 58967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81066240).

58967440 is an abundant number, since it is smaller than the sum of its proper divisors (103165040).

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

58967440 is a wasteful number, since it uses less digits than its factorization.

58967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 58967440 is about 7679.0259799014. The cubic root of 58967440 is about 389.2280148710.

The spelling of 58967440 in words is "fifty-eight million, nine hundred sixty-seven thousand, four hundred forty".