1327679820 has 36 divisors (see below), whose sum is σ = 4027296000. Its totient is φ = 354047904.

The previous prime is 1327679813. The next prime is 1327679851. The reversal of 1327679820 is 289767231.

1327679820 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3687820 + ... + 3688179.

Almost surely, 2^1327679820 is an apocalyptic number.

1327679820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327679820 is an abundant number, since it is smaller than the sum of its proper divisors (2699616180).

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

1327679820 is a wasteful number, since it uses less digits than its factorization.

1327679820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376014 (or 7376009 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1327679820 is about 36437.3410116600. The cubic root of 1327679820 is about 1099.0845882748.

It can be divided in two parts, 13276 and 79820, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 1327679820 in words is "one billion, three hundred twenty-seven million, six hundred seventy-nine thousand, eight hundred twenty".