66631464 has 64 divisors (see below), whose sum is σ = 185976000. Its totient is φ = 22104000.

The previous prime is 66631463. The next prime is 66631471. The reversal of 66631464 is 46413666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66631463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53602 + ... + 54830.

It is an arithmetic number, because the mean of its divisors is an integer number (2905875).

Almost surely, 2^66631464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66631464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92988000).

66631464 is an abundant number, since it is smaller than the sum of its proper divisors (119344536).

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

66631464 is a wasteful number, since it uses less digits than its factorization.

66631464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1485 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 66631464 is about 8162.8098103533. The cubic root of 66631464 is about 405.4087505627.

The spelling of 66631464 in words is "sixty-six million, six hundred thirty-one thousand, four hundred sixty-four".