2905672 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 1098240.

The previous prime is 2905667. The next prime is 2905687. The reversal of 2905672 is 2765092.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32604 + ... + 32692.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

2^2905672 is an apocalyptic number.

2905672 is a gapful number since it is divisible by the number (22) 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 2905672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2905672 is an abundant number, since it is smaller than the sum of its proper divisors (4092728).

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

2905672 is a wasteful number, since it uses less digits than its factorization.

2905672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2905672 is about 1704.6031796286. The cubic root of 2905672 is about 142.6972256236.

The spelling of 2905672 in words is "two million, nine hundred five thousand, six hundred seventy-two".