66635040 has 96 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 17153024.

The previous prime is 66635029. The next prime is 66635059. The reversal of 66635040 is 4053666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66634989 and 66635007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11527 + ... + 16313.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^66635040 is an apocalyptic number.

66635040 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 66635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

66635040 is an abundant number, since it is smaller than the sum of its proper divisors (150548640).

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

66635040 is a wasteful number, since it uses less digits than its factorization.

66635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66635040 is about 8163.0288496366. The cubic root of 66635040 is about 405.4160029710.

The spelling of 66635040 in words is "sixty-six million, six hundred thirty-five thousand, forty".