2621696 has 108 divisors (see below), whose sum is σ = 6990480. Its totient is φ = 967680.

The previous prime is 2621693. The next prime is 2621699. The reversal of 2621696 is 6961262.

It is an interprime number because it is at equal distance from previous prime (2621693) and next prime (2621699).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2621693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137975 + ... + 137993.

2^2621696 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 2621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495240).

2621696 is an abundant number, since it is smaller than the sum of its proper divisors (4368784).

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

2621696 is a wasteful number, since it uses less digits than its factorization.

2621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 2621696 is about 1619.1652170177. The cubic root of 2621696 is about 137.8883084215. Note that the first 3 decimals are identical.

The spelling of 2621696 in words is "two million, six hundred twenty-one thousand, six hundred ninety-six".