6657540 has 96 divisors (see below), whose sum is σ = 20248704. Its totient is φ = 1628160.

The previous prime is 6657533. The next prime is 6657571. The reversal of 6657540 is 457566.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

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, 62167 + ... + 62273.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^6657540 is an apocalyptic number.

6657540 is a gapful number since it is divisible by the number (60) 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 6657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352).

6657540 is an abundant number, since it is smaller than the sum of its proper divisors (13591164).

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

6657540 is a wasteful number, since it uses less digits than its factorization.

6657540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6657540 is about 2580.2209207740. The cubic root of 6657540 is about 188.1212813325.

The spelling of 6657540 in words is "six million, six hundred fifty-seven thousand, five hundred forty".