66953040 has 160 divisors (see below), whose sum is σ = 258840576. Its totient is φ = 13908480.

The previous prime is 66952973. The next prime is 66953057. The reversal of 66953040 is 4035966.

It is a happy number.

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 a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 66952992 and 66953010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16669 + ... + 20291.

Almost surely, 2^66953040 is an apocalyptic number.

66953040 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 66953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129420288).

66953040 is an abundant number, since it is smaller than the sum of its proper divisors (191887536).

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

66953040 is a wasteful number, since it uses less digits than its factorization.

66953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 66953040 is about 8182.4837305063. The cubic root of 66953040 is about 406.0598971705.

The spelling of 66953040 in words is "sixty-six million, nine hundred fifty-three thousand, forty".