66513120 has 48 divisors (see below), whose sum is σ = 209517840. Its totient is φ = 17736704.

The previous prime is 66513113. The next prime is 66513121. The reversal of 66513120 is 2131566.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66513121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68805 + ... + 69764.

It is an arithmetic number, because the mean of its divisors is an integer number (4364955).

Almost surely, 2^66513120 is an apocalyptic number.

66513120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66513120 is an abundant number, since it is smaller than the sum of its proper divisors (143004720).

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

66513120 is a wasteful number, since it uses less digits than its factorization.

66513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138587 (or 138579 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66513120 is about 8155.5576142898. The cubic root of 66513120 is about 405.1685931220.

Adding to 66513120 its reverse (2131566), we get a palindrome (68644686).

The spelling of 66513120 in words is "sixty-six million, five hundred thirteen thousand, one hundred twenty".