1679503248 has 120 divisors (see below), whose sum is σ = 4896624096. Its totient is φ = 557280000.

The previous prime is 1679503229. The next prime is 1679503277. The reversal of 1679503248 is 8423059761.

1679503248 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1679503248 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975028 + ... + 976748.

It is a 1-persistent number, because it is pandigital, but 2⋅1679503248 = 3359006496 is not.

It is a vampire number, since it can be written as 30978 ⋅ 54216 (with its own digits).

Almost surely, 2^1679503248 is an apocalyptic number.

1679503248 is a gapful number since it is divisible by the number (18) 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 1679503248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448312048).

1679503248 is an abundant number, since it is smaller than the sum of its proper divisors (3217120848).

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

1679503248 is a wasteful number, since it uses less digits than its factorization.

1679503248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1679503248 is about 40981.7428619135. The cubic root of 1679503248 is about 1188.6672101485.

The spelling of 1679503248 in words is "one billion, six hundred seventy-nine million, five hundred three thousand, two hundred forty-eight".