1674630144 has 132 divisors (see below), whose sum is σ = 5275364640. Its totient is φ = 507432960.

The previous prime is 1674630109. The next prime is 1674630239. The reversal of 1674630144 is 4410364761.

1674630144 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 630 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×1674630144² = 5608772238386921472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1674630099 and 1674630108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93117 + ... + 109635.

Almost surely, 2^1674630144 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 1674630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637682320).

1674630144 is an abundant number, since it is smaller than the sum of its proper divisors (3600734496).

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

1674630144 is a wasteful number, since it uses less digits than its factorization.

1674630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556 (or 16535 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1674630144 is about 40922.2450997010. The cubic root of 1674630144 is about 1187.5164511701.

The spelling of 1674630144 in words is "one billion, six hundred seventy-four million, six hundred thirty thousand, one hundred forty-four".