6662400 has 108 divisors (see below), whose sum is σ = 22050672. Its totient is φ = 1771520.

The previous prime is 6662399. The next prime is 6662401. The reversal of 6662400 is 42666.

It is an interprime number because it is at equal distance from previous prime (6662399) and next prime (6662401).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6662401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19027 + ... + 19373.

Almost surely, 2^6662400 is an apocalyptic number.

6662400 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 6662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025336).

6662400 is an abundant number, since it is smaller than the sum of its proper divisors (15388272).

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

6662400 is a wasteful number, since it uses less digits than its factorization.

6662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6662400 is about 2581.1625287843. The cubic root of 6662400 is about 188.1670463371.

The spelling of 6662400 in words is "six million, six hundred sixty-two thousand, four hundred".