67688544 has 96 divisors (see below), whose sum is σ = 221550336. Its totient is φ = 17579520.

The previous prime is 67688539. The next prime is 67688561. The reversal of 67688544 is 44588676.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 67688493 and 67688502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814 + ... + 11970.

It is an arithmetic number, because the mean of its divisors is an integer number (2307816).

Almost surely, 2^67688544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110775168).

67688544 is an abundant number, since it is smaller than the sum of its proper divisors (153861792).

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

67688544 is a wasteful number, since it uses less digits than its factorization.

67688544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9188 (or 9180 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 67688544 is about 8227.3047834634. The cubic root of 67688544 is about 407.5413916579.

It can be divided in two parts, 6 and 7688544, that multiplied together give a square (46131264 = 6792²).

The spelling of 67688544 in words is "sixty-seven million, six hundred eighty-eight thousand, five hundred forty-four".