18829920 has 48 divisors (see below), whose sum is σ = 59315760. Its totient is φ = 5021184.

The previous prime is 18829919. The next prime is 18830023. The reversal of 18829920 is 2992881.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19135 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (1235745).

Almost surely, 2^18829920 is an apocalyptic number.

18829920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18829920 is an abundant number, since it is smaller than the sum of its proper divisors (40485840).

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

18829920 is a wasteful number, since it uses less digits than its factorization.

18829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39247 (or 39239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 18829920 is about 4339.3455727794. The cubic root of 18829920 is about 266.0415635958.

The spelling of 18829920 in words is "eighteen million, eight hundred twenty-nine thousand, nine hundred twenty".