64494144 has 336 divisors, whose sum is σ = 232989120. Its totient is φ = 17418240.

The previous prime is 64494137. The next prime is 64494149. The reversal of 64494144 is 44149446.

64494144 is a `hidden beast` number, since 644 + 9 + 4 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×64494144² = 8318989220585472, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 64494099 and 64494108.

It is not an unprimeable number, because it can be changed into a prime (64494149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223922 + ... + 2223950.

It is an arithmetic number, because the mean of its divisors is an integer number (693420).

Almost surely, 2^64494144 is an apocalyptic number.

64494144 is a gapful number since it is divisible by the number (64) 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 64494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494560).

64494144 is an abundant number, since it is smaller than the sum of its proper divisors (168494976).

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

64494144 is a wasteful number, since it uses less digits than its factorization.

64494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 64494144 is about 8030.8246151936. The cubic root of 64494144 is about 401.0268284694.

The spelling of 64494144 in words is "sixty-four million, four hundred ninety-four thousand, one hundred forty-four".