1640624224 has 48 divisors (see below), whose sum is σ = 3376931040. Its totient is φ = 783129600.

The previous prime is 1640624213. The next prime is 1640624263. The reversal of 1640624224 is 4224260461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440482 + ... + 444190.

It is an arithmetic number, because the mean of its divisors is an integer number (70352730).

Almost surely, 2^1640624224 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 1640624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688465520).

1640624224 is an abundant number, since it is smaller than the sum of its proper divisors (1736306816).

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

1640624224 is a wasteful number, since it uses less digits than its factorization.

1640624224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 1640624224 is about 40504.6197858960. The cubic root of 1640624224 is about 1179.4233091271.

Adding to 1640624224 its reverse (4224260461), we get a palindrome (5864884685).

The spelling of 1640624224 in words is "one billion, six hundred forty million, six hundred twenty-four thousand, two hundred twenty-four".