2905632 has 120 divisors (see below), whose sum is σ = 9147600. Its totient is φ = 902016.

The previous prime is 2905631. The next prime is 2905667. The reversal of 2905632 is 2365092.

2905632 is a `hidden beast` number, since 29 + 0 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 2905596 and 2905605.

It is not an unprimeable number, because it can be changed into a prime (2905631) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49219 + ... + 49277.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

2^2905632 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 2905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573800).

2905632 is an abundant number, since it is smaller than the sum of its proper divisors (6241968).

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

2905632 is a wasteful number, since it uses less digits than its factorization.

2905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2905632 is about 1704.5914466522. The cubic root of 2905632 is about 142.6965708221.

The spelling of 2905632 in words is "two million, nine hundred five thousand, six hundred thirty-two".