1868166720 has 896 divisors, whose sum is σ = 8427110400. Its totient is φ = 379551744.

The previous prime is 1868166701. The next prime is 1868166731. The reversal of 1868166720 is 276618681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23647641 + ... + 23647719.

Almost surely, 2^1868166720 is an apocalyptic number.

1868166720 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 1868166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213555200).

1868166720 is an abundant number, since it is smaller than the sum of its proper divisors (6558943680).

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

1868166720 is a wasteful number, since it uses less digits than its factorization.

1868166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1868166720 is about 43222.2942472979. The cubic root of 1868166720 is about 1231.6062299226.

The spelling of 1868166720 in words is "one billion, eight hundred sixty-eight million, one hundred sixty-six thousand, seven hundred twenty".