1673952 has 96 divisors (see below), whose sum is σ = 5225472. Its totient is φ = 459264.

The previous prime is 1673951. The next prime is 1673953. The reversal of 1673952 is 2593761.

It is an interprime number because it is at equal distance from previous prime (1673951) and next prime (1673953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31558 + ... + 31610.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2^1673952 is an apocalyptic number.

1673952 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 1673952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736).

1673952 is an abundant number, since it is smaller than the sum of its proper divisors (3551520).

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

1673952 is a wasteful number, since it uses less digits than its factorization.

1673952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 1673952 is about 1293.8129694821. The cubic root of 1673952 is about 118.7356134003.

The spelling of 1673952 in words is "one million, six hundred seventy-three thousand, nine hundred fifty-two".