18426960 has 160 divisors (see below), whose sum is σ = 66960000. Its totient is φ = 4644864.

The previous prime is 18426959. The next prime is 18426971. The reversal of 18426960 is 6962481.

18426960 = T₃₁ + T₃₂ + ... + T₄₇₉.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40816 + ... + 41264.

It is an arithmetic number, because the mean of its divisors is an integer number (418500).

Almost surely, 2^18426960 is an apocalyptic number.

18426960 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 18426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480000).

18426960 is an abundant number, since it is smaller than the sum of its proper divisors (48533040).

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

18426960 is a wasteful number, since it uses less digits than its factorization.

18426960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18426960 is about 4292.6635088253. The cubic root of 18426960 is about 264.1301011639.

The spelling of 18426960 in words is "eighteen million, four hundred twenty-six thousand, nine hundred sixty".