1679027952 has 160 divisors (see below), whose sum is σ = 5143035904. Its totient is φ = 461894400.

The previous prime is 1679027893. The next prime is 1679027981. The reversal of 1679027952 is 2597209761.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3447453 + ... + 3447939.

Almost surely, 2^1679027952 is an apocalyptic number.

1679027952 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 1679027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571517952).

1679027952 is an abundant number, since it is smaller than the sum of its proper divisors (3464007952).

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

1679027952 is a wasteful number, since it uses less digits than its factorization.

1679027952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 1679027952 is about 40975.9435766890. The cubic root of 1679027952 is about 1188.5550694357. Note that the first 3 decimals are identical.

The spelling of 1679027952 in words is "one billion, six hundred seventy-nine million, twenty-seven thousand, nine hundred fifty-two".