1624066416 has 160 divisors (see below), whose sum is σ = 5457984000. Its totient is φ = 452666880.

The previous prime is 1624066387. The next prime is 1624066421. The reversal of 1624066416 is 6146604261.

1624066416 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 0 + 6 + 641 + 6 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 117435 + ... + 130533.

It is an arithmetic number, because the mean of its divisors is an integer number (34112400).

Almost surely, 2^1624066416 is an apocalyptic number.

1624066416 is a gapful number since it is divisible by the number (16) 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 1624066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728992000).

1624066416 is an abundant number, since it is smaller than the sum of its proper divisors (3833917584).

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

1624066416 is a wasteful number, since it uses less digits than its factorization.

1624066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1624066416 is about 40299.7073934787. The cubic root of 1624066416 is about 1175.4421552489.

The spelling of 1624066416 in words is "one billion, six hundred twenty-four million, sixty-six thousand, four hundred sixteen".