688367376 has 80 divisors (see below), whose sum is σ = 1979099520. Its totient is φ = 229080960.

The previous prime is 688367333. The next prime is 688367377. The reversal of 688367376 is 673763886.

It is a super-2 number, since 2×688367376² = 947699288682250752, which contains 22 as substring.

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 (688367377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423846 + ... + 425466.

It is an arithmetic number, because the mean of its divisors is an integer number (24738744).

Almost surely, 2^688367376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688367376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989549760).

688367376 is an abundant number, since it is smaller than the sum of its proper divisors (1290732144).

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

688367376 is a wasteful number, since it uses less digits than its factorization.

688367376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2609 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 688367376 is about 26236.7562019393. The cubic root of 688367376 is about 882.9580962617.

The spelling of 688367376 in words is "six hundred eighty-eight million, three hundred sixty-seven thousand, three hundred seventy-six".