21679152 has 80 divisors (see below), whose sum is σ = 64341120. Its totient is φ = 6220800.

The previous prime is 21679139. The next prime is 21679159. The reversal of 21679152 is 25197612.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21679159) 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, 8952 + ... + 11112.

It is an arithmetic number, because the mean of its divisors is an integer number (804264).

Almost surely, 2^21679152 is an apocalyptic number.

21679152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21679152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32170560).

21679152 is an abundant number, since it is smaller than the sum of its proper divisors (42661968).

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

21679152 is a wasteful number, since it uses less digits than its factorization.

21679152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 21679152 is about 4656.0876280414. The cubic root of 21679152 is about 278.8350922291.

The spelling of 21679152 in words is "twenty-one million, six hundred seventy-nine thousand, one hundred fifty-two".