6738624 has 42 divisors (see below), whose sum is σ = 19316700. Its totient is φ = 2246016.

The previous prime is 6738623. The next prime is 6738631. The reversal of 6738624 is 4268376.

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

It is a d-powerful number, because it can be written as 6⁶ + 7 + 3¹⁴ + 8⁵ + 6⁸ + 2¹⁷ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (6738623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5274 + ... + 6425.

Almost surely, 2^6738624 is an apocalyptic number.

6738624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6738624 is an abundant number, since it is smaller than the sum of its proper divisors (12578076).

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

6738624 is a wasteful number, since it uses less digits than its factorization.

6738624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11704 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6738624 is about 2595.8859759242. The cubic root of 6738624 is about 188.8819284376.

The spelling of 6738624 in words is "six million, seven hundred thirty-eight thousand, six hundred twenty-four".