2903964 has 48 divisors (see below), whose sum is σ = 7827456. Its totient is φ = 820800.

The previous prime is 2903959. The next prime is 2903969. The reversal of 2903964 is 4693092.

It is an interprime number because it is at equal distance from previous prime (2903959) and next prime (2903969).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903969) 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, 15109 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (163072).

2^2903964 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 2903964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913728).

2903964 is an abundant number, since it is smaller than the sum of its proper divisors (4923492).

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

2903964 is a wasteful number, since it uses less digits than its factorization.

2903964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2903964 is about 1704.1021096167. The cubic root of 2903964 is about 142.6692602473.

The spelling of 2903964 in words is "two million, nine hundred three thousand, nine hundred sixty-four".