58668000 has 96 divisors (see below), whose sum is σ = 192235680. Its totient is φ = 15641600.

The previous prime is 58667989. The next prime is 58668011. The reversal of 58668000 is 86685.

It is an interprime number because it is at equal distance from previous prime (58667989) and next prime (58668011).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9556 + ... + 14444.

It is an arithmetic number, because the mean of its divisors is an integer number (2002455).

Almost surely, 2^58668000 is an apocalyptic number.

58668000 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 58668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96117840).

58668000 is an abundant number, since it is smaller than the sum of its proper divisors (133567680).

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

58668000 is a wasteful number, since it uses less digits than its factorization.

58668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 58668000 is about 7659.5039003841. The cubic root of 58668000 is about 388.5680558696.

It can be divided in two parts, 586 and 68000, that added together give a palindrome (68586).

The spelling of 58668000 in words is "fifty-eight million, six hundred sixty-eight thousand".