1674861552 has 540 divisors, whose sum is σ = 6386856840. Its totient is φ = 404974080.

The previous prime is 1674861523. The next prime is 1674861589. The reversal of 1674861552 is 2551684761.

1674861552 is a `hidden beast` number, since 16 + 7 + 4 + 86 + 1 + 552 = 666.

It is a super-2 number, since 2×1674861552² = 5610322436735697408, which contains 22 as substring.

Its product of digits (403200) is a multiple of the sum of its prime divisors (75).

It is a junction number, because it is equal to n+sod(n) for n = 1674861498 and 1674861507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 54027777 + ... + 54027807.

Almost surely, 2^1674861552 is an apocalyptic number.

1674861552 is a gapful number since it is divisible by the number (12) 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 1674861552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193428420).

1674861552 is an abundant number, since it is smaller than the sum of its proper divisors (4711995288).

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

1674861552 is a wasteful number, since it uses less digits than its factorization.

1674861552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1674861552 is about 40925.0724128865. The cubic root of 1674861552 is about 1187.5711474565.

The spelling of 1674861552 in words is "one billion, six hundred seventy-four million, eight hundred sixty-one thousand, five hundred fifty-two".