20597742 has 48 divisors (see below), whose sum is σ = 50813568. Its totient is φ = 5969040.

The previous prime is 20597711. The next prime is 20597747. The reversal of 20597742 is 24779502.

20597742 is a `hidden beast` number, since 20 + 597 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20597697 and 20597706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20597747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2293 + ... + 6815.

It is an arithmetic number, because the mean of its divisors is an integer number (1058616).

Almost surely, 2^20597742 is an apocalyptic number.

20597742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20597742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406784).

20597742 is an abundant number, since it is smaller than the sum of its proper divisors (30215826).

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

20597742 is a wasteful number, since it uses less digits than its factorization.

20597742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20597742 is about 4538.4735319268. The cubic root of 20597742 is about 274.1194623551.

It can be divided in two parts, 2059 and 7742, that added together give a square (9801 = 99²).

The spelling of 20597742 in words is "twenty million, five hundred ninety-seven thousand, seven hundred forty-two".