1609938624 has 224 divisors, whose sum is σ = 5323124736. Its totient is φ = 418775040.

The previous prime is 1609938623. The next prime is 1609938661. The reversal of 1609938624 is 4268399061.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1609938623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707152 + ... + 709424.

Almost surely, 2^1609938624 is an apocalyptic number.

1609938624 is a gapful number since it is divisible by the number (14) 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 1609938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661562368).

1609938624 is an abundant number, since it is smaller than the sum of its proper divisors (3713186112).

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

1609938624 is a wasteful number, since it uses less digits than its factorization.

1609938624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 1609938624 is about 40124.0404745085. The cubic root of 1609938624 is about 1172.0238242933.

The spelling of 1609938624 in words is "one billion, six hundred nine million, nine hundred thirty-eight thousand, six hundred twenty-four".