1808162664 has 256 divisors, whose sum is σ = 6193152000. Its totient is φ = 425399040.

The previous prime is 1808162659. The next prime is 1808162693. The reversal of 1808162664 is 4662618081.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806457 + ... + 808695.

It is an arithmetic number, because the mean of its divisors is an integer number (24192000).

Almost surely, 2^1808162664 is an apocalyptic number.

1808162664 is a gapful number since it is divisible by the number (14) 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 1808162664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096576000).

1808162664 is an abundant number, since it is smaller than the sum of its proper divisors (4384989336).

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

1808162664 is a wasteful number, since it uses less digits than its factorization.

1808162664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1808162664 is about 42522.4959756598. The cubic root of 1808162664 is about 1218.2764033067.

The spelling of 1808162664 in words is "one billion, eight hundred eight million, one hundred sixty-two thousand, six hundred sixty-four".