1679264352 has 96 divisors (see below), whose sum is σ = 5186008800. Its totient is φ = 526823424.

The previous prime is 1679264299. The next prime is 1679264357. The reversal of 1679264352 is 2534629761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1679264298 and 1679264307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679264357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42477 + ... + 71852.

It is an arithmetic number, because the mean of its divisors is an integer number (54020925).

Almost surely, 2^1679264352 is an apocalyptic number.

1679264352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1679264352 is an abundant number, since it is smaller than the sum of its proper divisors (3506744448).

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

1679264352 is a wasteful number, since it uses less digits than its factorization.

1679264352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114365 (or 114351 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1679264352 is about 40978.8280945173. The cubic root of 1679264352 is about 1188.6108479856.

It can be divided in two parts, 1679264 and 352, that added together give a 8-th power (1679616 = 6⁸).

The spelling of 1679264352 in words is "one billion, six hundred seventy-nine million, two hundred sixty-four thousand, three hundred fifty-two".