66623040 has 224 divisors, whose sum is σ = 256763520. Its totient is φ = 16128000.

The previous prime is 66623033. The next prime is 66623047. The reversal of 66623040 is 4032666.

It is an interprime number because it is at equal distance from previous prime (66623033) and next prime (66623047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66622995 and 66623013.

It is not an unprimeable number, because it can be changed into a prime (66623047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94690 + ... + 95390.

Almost surely, 2^66623040 is an apocalyptic number.

66623040 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 66623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

66623040 is an abundant number, since it is smaller than the sum of its proper divisors (190140480).

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

66623040 is a wasteful number, since it uses less digits than its factorization.

66623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66623040 is about 8162.2937952514. The cubic root of 66623040 is about 405.3916650046.

The spelling of 66623040 in words is "sixty-six million, six hundred twenty-three thousand, forty".