1918424160 has 144 divisors (see below), whose sum is σ = 6931806336. Its totient is φ = 481480704.

The previous prime is 1918424147. The next prime is 1918424201. The reversal of 1918424160 is 614248191.

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 14704 + ... + 63663.

It is an arithmetic number, because the mean of its divisors is an integer number (48137544).

Almost surely, 2^1918424160 is an apocalyptic number.

1918424160 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 1918424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465903168).

1918424160 is an abundant number, since it is smaller than the sum of its proper divisors (5013382176).

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

1918424160 is a wasteful number, since it uses less digits than its factorization.

1918424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78405 (or 78394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1918424160 is about 43799.8191777089. The cubic root of 1918424160 is about 1242.5528745007.

The spelling of 1918424160 in words is "one billion, nine hundred eighteen million, four hundred twenty-four thousand, one hundred sixty".