1689724520 has 128 divisors (see below), whose sum is σ = 4415523840. Its totient is φ = 575139840.

The previous prime is 1689724507. The next prime is 1689724637. The reversal of 1689724520 is 254279861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1667534 + ... + 1668546.

It is an arithmetic number, because the mean of its divisors is an integer number (34496280).

Almost surely, 2^1689724520 is an apocalyptic number.

1689724520 is a gapful number since it is divisible by the number (10) 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 1689724520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207761920).

1689724520 is an abundant number, since it is smaller than the sum of its proper divisors (2725799320).

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

1689724520 is a wasteful number, since it uses less digits than its factorization.

1689724520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 1689724520 is about 41106.2588908307. The cubic root of 1689724520 is about 1191.0737008090.

The spelling of 1689724520 in words is "one billion, six hundred eighty-nine million, seven hundred twenty-four thousand, five hundred twenty".