5387904 has 64 divisors (see below), whose sum is σ = 15912000. Its totient is φ = 1794816.

The previous prime is 5387891. The next prime is 5387909. The reversal of 5387904 is 4097835.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2677 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^5387904 is an apocalyptic number.

5387904 is a gapful number since it is divisible by the number (54) 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 5387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956000).

5387904 is an abundant number, since it is smaller than the sum of its proper divisors (10524096).

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

5387904 is a wasteful number, since it uses less digits than its factorization.

5387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5387904 is about 2321.1859038000. The cubic root of 5387904 is about 175.3099703659.

The spelling of 5387904 in words is "five million, three hundred eighty-seven thousand, nine hundred four".