18764040 has 64 divisors (see below), whose sum is σ = 56597760. Its totient is φ = 4976640.

The previous prime is 18764003. The next prime is 18764041. The reversal of 18764040 is 4046781.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18763989 and 18764007.

It is not an unprimeable number, because it can be changed into a prime (18764041) 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, 32232 + ... + 32808.

It is an arithmetic number, because the mean of its divisors is an integer number (884340).

Almost surely, 2^18764040 is an apocalyptic number.

18764040 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 18764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28298880).

18764040 is an abundant number, since it is smaller than the sum of its proper divisors (37833720).

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

18764040 is a wasteful number, since it uses less digits than its factorization.

18764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 18764040 is about 4331.7479151031. The cubic root of 18764040 is about 265.7309356463.

The spelling of 18764040 in words is "eighteen million, seven hundred sixty-four thousand, forty".