688038054 has 64 divisors (see below), whose sum is σ = 1572991488. Its totient is φ = 198598400.

The previous prime is 688038047. The next prime is 688038073. The reversal of 688038054 is 450830886.

It is a junction number, because it is equal to n+sod(n) for n = 688037997 and 688038015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425752 + ... + 427364.

It is an arithmetic number, because the mean of its divisors is an integer number (24577992).

Almost surely, 2^688038054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688038054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786495744).

688038054 is an abundant number, since it is smaller than the sum of its proper divisors (884953434).

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

688038054 is a wasteful number, since it uses less digits than its factorization.

688038054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933.

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 688038054 is about 26230.4794847521. The cubic root of 688038054 is about 882.8172684039.

The spelling of 688038054 in words is "six hundred eighty-eight million, thirty-eight thousand, fifty-four".