1867345920 has 416 divisors, whose sum is σ = 7265744640. Its totient is φ = 451215360.

The previous prime is 1867345903. The next prime is 1867345939. The reversal of 1867345920 is 295437681.

1867345920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1867345920 is strictly pandigital in base 10.

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 31 ways as a sum of consecutive naturals, for example, 6082407 + ... + 6082713.

It is a 1-persistent number, because it is pandigital, but 2⋅1867345920 = 3734691840 is not.

Almost surely, 2^1867345920 is an apocalyptic number.

1867345920 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 1867345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632872320).

1867345920 is an abundant number, since it is smaller than the sum of its proper divisors (5398398720).

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

1867345920 is a wasteful number, since it uses less digits than its factorization.

1867345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1867345920 is about 43212.7981042654. The cubic root of 1867345920 is about 1231.4258301633.

The spelling of 1867345920 in words is "one billion, eight hundred sixty-seven million, three hundred forty-five thousand, nine hundred twenty".