688410540 has 36 divisors (see below), whose sum is σ = 2088179184. Its totient is φ = 183576096.

The previous prime is 688410523. The next prime is 688410553. The reversal of 688410540 is 45014886.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 688410495 and 688410504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912072 + ... + 1912431.

Almost surely, 2^688410540 is an apocalyptic number.

688410540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688410540 is an abundant number, since it is smaller than the sum of its proper divisors (1399768644).

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

688410540 is a wasteful number, since it uses less digits than its factorization.

688410540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824518 (or 3824513 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 688410540 is about 26237.5787754892. The cubic root of 688410540 is about 882.9765511392.

It can be divided in two parts, 6884 and 10540, that added together give a square (17424 = 132²).

The spelling of 688410540 in words is "six hundred eighty-eight million, four hundred ten thousand, five hundred forty".