1674820224 has 384 divisors, whose sum is σ = 6110208000. Its totient is φ = 427714560.

The previous prime is 1674820223. The next prime is 1674820243. The reversal of 1674820224 is 4220284761.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674820223) 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, 7007497 + ... + 7007735.

It is an arithmetic number, because the mean of its divisors is an integer number (15912000).

Almost surely, 2^1674820224 is an apocalyptic number.

1674820224 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 1674820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055104000).

1674820224 is an abundant number, since it is smaller than the sum of its proper divisors (4435387776).

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

1674820224 is a wasteful number, since it uses less digits than its factorization.

1674820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1674820224 is about 40924.5674870242. The cubic root of 1674820224 is about 1187.5613794165.

The spelling of 1674820224 in words is "one billion, six hundred seventy-four million, eight hundred twenty thousand, two hundred twenty-four".