18277920 has 96 divisors (see below), whose sum is σ = 63987840. Its totient is φ = 4872960.

The previous prime is 18277901. The next prime is 18277921. The reversal of 18277920 is 2977281.

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

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

It is not an unprimeable number, because it can be changed into a prime (18277921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (666540).

Almost surely, 2^18277920 is an apocalyptic number.

18277920 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 18277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31993920).

18277920 is an abundant number, since it is smaller than the sum of its proper divisors (45709920).

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

18277920 is a wasteful number, since it uses less digits than its factorization.

18277920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 18277920 is about 4275.2684126263. The cubic root of 18277920 is about 263.4160647318.

The spelling of 18277920 in words is "eighteen million, two hundred seventy-seven thousand, nine hundred twenty".