66047040 has 336 divisors, whose sum is σ = 256763520. Its totient is φ = 15482880.

The previous prime is 66047039. The next prime is 66047041. The reversal of 66047040 is 4074066.

It is an interprime number because it is at equal distance from previous prime (66047039) and next prime (66047041).

It is a super-3 number, since 3×66047040³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 66046995 and 66047013.

It is not an unprimeable number, because it can be changed into a prime (66047041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930205 + ... + 930275.

Almost surely, 2^66047040 is an apocalyptic number.

66047040 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 66047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

66047040 is an abundant number, since it is smaller than the sum of its proper divisors (190716480).

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

66047040 is a wasteful number, since it uses less digits than its factorization.

66047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66047040 is about 8126.9330008312. The cubic root of 66047040 is about 404.2199893275.

The spelling of 66047040 in words is "sixty-six million, forty-seven thousand, forty".