688148400 has 60 divisors (see below), whose sum is σ = 2204372552. Its totient is φ = 183505920.

The previous prime is 688148359. The next prime is 688148407. The reversal of 688148400 is 4841886.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (688148407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285529 + ... + 287928.

Almost surely, 2^688148400 is an apocalyptic number.

688148400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688148400 is an abundant number, since it is smaller than the sum of its proper divisors (1516224152).

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

688148400 is a wasteful number, since it uses less digits than its factorization.

688148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573478 (or 573467 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 688148400 is about 26232.5827931601. The cubic root of 688148400 is about 882.8644606323.

The spelling of 688148400 in words is "six hundred eighty-eight million, one hundred forty-eight thousand, four hundred".