689768352 has 384 divisors, whose sum is σ = 2564997120. Its totient is φ = 175426560.

The previous prime is 689768333. The next prime is 689768357. The reversal of 689768352 is 253867986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (689768357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437203 + ... + 2437485.

It is an arithmetic number, because the mean of its divisors is an integer number (6679680).

Almost surely, 2^689768352 is an apocalyptic number.

689768352 is a gapful number since it is divisible by the number (62) 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 689768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282498560).

689768352 is an abundant number, since it is smaller than the sum of its proper divisors (1875228768).

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

689768352 is a wasteful number, since it uses less digits than its factorization.

689768352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 689768352 is about 26263.4413586643. The cubic root of 689768352 is about 883.5566937080.

The spelling of 689768352 in words is "six hundred eighty-nine million, seven hundred sixty-eight thousand, three hundred fifty-two".