20692672 has 224 divisors, whose sum is σ = 61447680. Its totient is φ = 6635520.

The previous prime is 20692667. The next prime is 20692681. The reversal of 20692672 is 27629602.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089079 + ... + 1089097.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^20692672 is an apocalyptic number.

20692672 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 20692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

20692672 is an abundant number, since it is smaller than the sum of its proper divisors (40755008).

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

20692672 is a wasteful number, since it uses less digits than its factorization.

20692672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 20692672 is about 4548.9198717937. The cubic root of 20692672 is about 274.5399337834.

The spelling of 20692672 in words is "twenty million, six hundred ninety-two thousand, six hundred seventy-two".