18077940 has 72 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 4745664.

The previous prime is 18077909. The next prime is 18077951. The reversal of 18077940 is 4977081.

18077940 = T₄₅₁ + T₄₅₂ + ... + T₅₈₄.

18077940 = 175² + 176² + ... + 390².

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

It is a junction number, because it is equal to n+sod(n) for n = 18077895 and 18077904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11311 + ... + 12809.

It is an arithmetic number, because the mean of its divisors is an integer number (773500).

Almost surely, 2^18077940 is an apocalyptic number.

18077940 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 18077940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

18077940 is an abundant number, since it is smaller than the sum of its proper divisors (37614060).

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

18077940 is a wasteful number, since it uses less digits than its factorization.

18077940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1576 counting only the distinct ones).

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

The square root of 18077940 is about 4251.8160825699. The cubic root of 18077940 is about 262.4518551159.

The spelling of 18077940 in words is "eighteen million, seventy-seven thousand, nine hundred forty".