688875480 has 96 divisors (see below), whose sum is σ = 2290962960. Its totient is φ = 179424000.

The previous prime is 688875469. The next prime is 688875491. The reversal of 688875480 is 84578886.

688875480 is a `hidden beast` number, since 6 + 88 + 87 + 5 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (688875469) and next prime (688875491).

It is a congruent number.

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, 6771 + ... + 37730.

Almost surely, 2^688875480 is an apocalyptic number.

688875480 is a gapful number since it is divisible by the number (60) 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 688875480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145481480).

688875480 is an abundant number, since it is smaller than the sum of its proper divisors (1602087480).

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

688875480 is a wasteful number, since it uses less digits than its factorization.

688875480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44561 (or 44554 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 688875480 is about 26246.4374725409. The cubic root of 688875480 is about 883.1752885237.

The spelling of 688875480 in words is "six hundred eighty-eight million, eight hundred seventy-five thousand, four hundred eighty".