6817152 has 64 divisors (see below), whose sum is σ = 18592560. Its totient is φ = 2211840.

The previous prime is 6817121. The next prime is 6817157. The reversal of 6817152 is 2517186.

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

It is a super-2 number, since 2×6817152² = 92947122782208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6817157) 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, 15528 + ... + 15960.

Almost surely, 2^6817152 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 6817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

6817152 is an abundant number, since it is smaller than the sum of its proper divisors (11775408).

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

6817152 is a wasteful number, since it uses less digits than its factorization.

6817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 6817152 is about 2610.9676367201. The cubic root of 6817152 is about 189.6128033512.

The spelling of 6817152 in words is "six million, eight hundred seventeen thousand, one hundred fifty-two".