1867680240 has 80 divisors (see below), whose sum is σ = 6094550400. Its totient is φ = 471833856.

The previous prime is 1867680211. The next prime is 1867680251. The reversal of 1867680240 is 420867681.

1867680240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1867680192 and 1867680201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200230 + ... + 209349.

It is an arithmetic number, because the mean of its divisors is an integer number (76181880).

Almost surely, 2^1867680240 is an apocalyptic number.

1867680240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1867680240 is an abundant number, since it is smaller than the sum of its proper divisors (4226870160).

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

1867680240 is a wasteful number, since it uses less digits than its factorization.

1867680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409614 (or 409608 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1867680240 is about 43216.6662295925. Note that the first 3 decimals coincide. The cubic root of 1867680240 is about 1231.4993151583.

The spelling of 1867680240 in words is "one billion, eight hundred sixty-seven million, six hundred eighty thousand, two hundred forty".