5385744 has 160 divisors (see below), whose sum is σ = 19165440. Its totient is φ = 1410048.

The previous prime is 5385727. The next prime is 5385761. The reversal of 5385744 is 4475835.

It is an interprime number because it is at equal distance from previous prime (5385727) and next prime (5385761).

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

It is a junction number, because it is equal to n+sod(n) for n = 5385699 and 5385708.

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, 39244 + ... + 39380.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

Almost surely, 2^5385744 is an apocalyptic number.

5385744 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 5385744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582720).

5385744 is an abundant number, since it is smaller than the sum of its proper divisors (13779696).

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

5385744 is a wasteful number, since it uses less digits than its factorization.

5385744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 5385744 is about 2320.7205777517. The cubic root of 5385744 is about 175.2865400950.

Subtracting from 5385744 its reverse (4475835), we obtain a palindrome (909909).

The spelling of 5385744 in words is "five million, three hundred eighty-five thousand, seven hundred forty-four".