26993952 has 96 divisors (see below), whose sum is σ = 79632000. Its totient is φ = 8895744.

The previous prime is 26993947. The next prime is 26993957. The reversal of 26993952 is 25939962.

It is an interprime number because it is at equal distance from previous prime (26993947) and next prime (26993957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 26993898 and 26993907.

It is not an unprimeable number, because it can be changed into a prime (26993957) 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, 135549 + ... + 135747.

It is an arithmetic number, because the mean of its divisors is an integer number (829500).

Almost surely, 2^26993952 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 26993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816000).

26993952 is an abundant number, since it is smaller than the sum of its proper divisors (52638048).

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

26993952 is a wasteful number, since it uses less digits than its factorization.

26993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 26993952 is about 5195.5704210414. The cubic root of 26993952 is about 299.9775983273.

The spelling of 26993952 in words is "twenty-six million, nine hundred ninety-three thousand, nine hundred fifty-two".