62664144 has 80 divisors (see below), whose sum is σ = 174465024. Its totient is φ = 19324800.

The previous prime is 62664131. The next prime is 62664163. The reversal of 62664144 is 44146626.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 33309 + ... + 35139.

Almost surely, 2^62664144 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 62664144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87232512).

62664144 is an abundant number, since it is smaller than the sum of its proper divisors (111800880).

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

62664144 is a wasteful number, since it uses less digits than its factorization.

62664144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 62664144 is about 7916.0687212783. The cubic root of 62664144 is about 397.1973757723.

The spelling of 62664144 in words is "sixty-two million, six hundred sixty-four thousand, one hundred forty-four".