689574144 has 288 divisors, whose sum is σ = 2273582080. Its totient is φ = 181149696.

The previous prime is 689574131. The next prime is 689574169. The reversal of 689574144 is 441475986.

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

It is a junction number, because it is equal to n+sod(n) for n = 689574093 and 689574102.

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, 4392114 + ... + 4392270.

Almost surely, 2^689574144 is an apocalyptic number.

689574144 is a gapful number since it is divisible by the number (64) 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 689574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136791040).

689574144 is an abundant number, since it is smaller than the sum of its proper divisors (1584007936).

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

689574144 is a wasteful number, since it uses less digits than its factorization.

689574144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 689574144 is about 26259.7437915910. The cubic root of 689574144 is about 883.4737625400.

The spelling of 689574144 in words is "six hundred eighty-nine million, five hundred seventy-four thousand, one hundred forty-four".