2946672 has 80 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 927936.

The previous prime is 2946667. The next prime is 2946679. The reversal of 2946672 is 2766492.

It is a happy number.

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

It is a d-powerful number, because it can be written as 2⁹ + 9 + 4⁷ + 6⁴ + 6⁵ + 7⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946679) 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, 8029 + ... + 8387.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

2^2946672 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 2946672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2946672 is an abundant number, since it is smaller than the sum of its proper divisors (5981328).

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

2946672 is a wasteful number, since it uses less digits than its factorization.

2946672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2946672 is about 1716.5873120817. The cubic root of 2946672 is about 143.3652618013.

The spelling of 2946672 in words is "two million, nine hundred forty-six thousand, six hundred seventy-two".