5378688 has 192 divisors, whose sum is σ = 19094400. Its totient is φ = 1419264.

The previous prime is 5378683. The next prime is 5378689. The reversal of 5378688 is 8868735.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (322560) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5378683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185458 + ... + 185486.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

Almost surely, 2^5378688 is an apocalyptic number.

5378688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

5378688 is an abundant number, since it is smaller than the sum of its proper divisors (13715712).

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

5378688 is a wasteful number, since it uses less digits than its factorization.

5378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5378688 is about 2319.1998620214. The cubic root of 5378688 is about 175.2099575250.

The spelling of 5378688 in words is "five million, three hundred seventy-eight thousand, six hundred eighty-eight".