1367893920 has 48 divisors (see below), whose sum is σ = 4308867360. Its totient is φ = 364771584.

The previous prime is 1367893897. The next prime is 1367893921. The reversal of 1367893920 is 293987631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1367893920² = 3742267552745932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1367893920.

It is not an unprimeable number, because it can be changed into a prime (1367893921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424410 + ... + 1425369.

It is an arithmetic number, because the mean of its divisors is an integer number (89768070).

Almost surely, 2^1367893920 is an apocalyptic number.

1367893920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1367893920 is an abundant number, since it is smaller than the sum of its proper divisors (2940973440).

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

1367893920 is a wasteful number, since it uses less digits than its factorization.

1367893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849797 (or 2849789 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1367893920 is about 36985.0499526498. The cubic root of 1367893920 is about 1110.0711260324.

The spelling of 1367893920 in words is "one billion, three hundred sixty-seven million, eight hundred ninety-three thousand, nine hundred twenty".