1679504112 has 320 divisors, whose sum is σ = 5852958720. Its totient is φ = 454118400.

The previous prime is 1679504093. The next prime is 1679504129. The reversal of 1679504112 is 2114059761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914618 + ... + 1915494.

It is an arithmetic number, because the mean of its divisors is an integer number (18290496).

Almost surely, 2^1679504112 is an apocalyptic number.

1679504112 is a gapful number since it is divisible by the number (12) 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 1679504112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926479360).

1679504112 is an abundant number, since it is smaller than the sum of its proper divisors (4173454608).

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

1679504112 is a wasteful number, since it uses less digits than its factorization.

1679504112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1679504112 is about 40981.7534031915. The cubic root of 1679504112 is about 1188.6674139802.

It can be divided in two parts, 1679504 and 112, that added together give a 8-th power (1679616 = 6⁸).

The spelling of 1679504112 in words is "one billion, six hundred seventy-nine million, five hundred four thousand, one hundred twelve".