18958720 has 64 divisors (see below), whose sum is σ = 49461840. Its totient is φ = 6891520.

The previous prime is 18958703. The next prime is 18958729. The reversal of 18958720 is 2785981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18958729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5694 + ... + 8386.

Almost surely, 2^18958720 is an apocalyptic number.

18958720 is a gapful number since it is divisible by the number (10) 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 18958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730920).

18958720 is an abundant number, since it is smaller than the sum of its proper divisors (30503120).

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

18958720 is a wasteful number, since it uses less digits than its factorization.

18958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 18958720 is about 4354.1612280668. The cubic root of 18958720 is about 266.6467762942.

The spelling of 18958720 in words is "eighteen million, nine hundred fifty-eight thousand, seven hundred twenty".