20735730 has 64 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 5434560.

The previous prime is 20735713. The next prime is 20735731. The reversal of 20735730 is 3753702.

20735730 is a `hidden beast` number, since 20 + 73 + 573 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20735694 and 20735703.

It is not an unprimeable number, because it can be changed into a prime (20735731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15841 + ... + 17099.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^20735730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20735730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

20735730 is an abundant number, since it is smaller than the sum of its proper divisors (35510670).

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

20735730 is a wasteful number, since it uses less digits than its factorization.

20735730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 20735730 is about 4553.6501841929. The cubic root of 20735730 is about 274.7302257970.

It can be divided in two parts, 207 and 35730, that added together give a cube (35937 = 33³).

The spelling of 20735730 in words is "twenty million, seven hundred thirty-five thousand, seven hundred thirty".