1679634 has 48 divisors (see below), whose sum is σ = 4212000. Its totient is φ = 478080.

The previous prime is 1679633. The next prime is 1679641. The reversal of 1679634 is 4369761.

1679634 = T₄₃₆ + T₄₃₇ + ... + T₄₅₂.

1679634 is a `hidden beast` number, since 16 + 7 + 9 + 634 = 666.

It is not an unprimeable number, because it can be changed into a prime (1679633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3117 + ... + 3615.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

2^1679634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106000).

1679634 is an abundant number, since it is smaller than the sum of its proper divisors (2532366).

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

1679634 is a wasteful number, since it uses less digits than its factorization.

1679634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 532 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1679634 is about 1296.0069444258. The cubic root of 1679634 is about 118.8698055893.

It can be divided in two parts, 167 and 9634, that added together give a square (9801 = 99²).

The spelling of 1679634 in words is "one million, six hundred seventy-nine thousand, six hundred thirty-four".