18775680 has 256 divisors, whose sum is σ = 75202560. Its totient is φ = 3870720.

The previous prime is 18775661. The next prime is 18775681. The reversal of 18775680 is 8657781.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18775681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147777 + ... + 147903.

It is an arithmetic number, because the mean of its divisors is an integer number (293760).

Almost surely, 2^18775680 is an apocalyptic number.

18775680 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 18775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601280).

18775680 is an abundant number, since it is smaller than the sum of its proper divisors (56426880).

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

18775680 is a wasteful number, since it uses less digits than its factorization.

18775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 18775680 is about 4333.0912752907. The cubic root of 18775680 is about 265.7858717319.

It can be divided in two parts, 1877 and 5680, that added together give a palindrome (7557).

The spelling of 18775680 in words is "eighteen million, seven hundred seventy-five thousand, six hundred eighty".