688361541 has 16 divisors (see below), whose sum is σ = 1082769408. Its totient is φ = 380660400.

The previous prime is 688361519. The next prime is 688361573. The reversal of 688361541 is 145163886.

It is not a de Polignac number, because 688361541 - 2⁶ = 688361477 is a prime.

It is a super-2 number, since 2×688361541² = 947683222255789362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 688361493 and 688361502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688361581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528045 + ... + 529346.

It is an arithmetic number, because the mean of its divisors is an integer number (67673088).

Almost surely, 2^688361541 is an apocalyptic number.

It is an amenable number.

688361541 is a deficient number, since it is larger than the sum of its proper divisors (394407867).

688361541 is a wasteful number, since it uses less digits than its factorization.

688361541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057432.

The product of its digits is 138240, while the sum is 42.

The square root of 688361541 is about 26236.6450027438. The cubic root of 688361541 is about 882.9556014335.

The spelling of 688361541 in words is "six hundred eighty-eight million, three hundred sixty-one thousand, five hundred forty-one".