66543840 has 144 divisors (see below), whose sum is σ = 247783536. Its totient is φ = 16128000.

The previous prime is 66543821. The next prime is 66543859. The reversal of 66543840 is 4834566.

It is an interprime number because it is at equal distance from previous prime (66543821) and next prime (66543859).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 66543795 and 66543804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13740 + ... + 17940.

It is an arithmetic number, because the mean of its divisors is an integer number (1720719).

Almost surely, 2^66543840 is an apocalyptic number.

66543840 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 66543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123891768).

66543840 is an abundant number, since it is smaller than the sum of its proper divisors (181239696).

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

66543840 is a wasteful number, since it uses less digits than its factorization.

66543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 66543840 is about 8157.4407751451. The cubic root of 66543840 is about 405.2309610850.

The spelling of 66543840 in words is "sixty-six million, five hundred forty-three thousand, eight hundred forty".