20762742 has 64 divisors (see below), whose sum is σ = 55770624. Its totient is φ = 4976640.

The previous prime is 20762741. The next prime is 20762759. The reversal of 20762742 is 24726702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20762741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4278 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^20762742 is an apocalyptic number.

20762742 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 20762742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885312).

20762742 is an abundant number, since it is smaller than the sum of its proper divisors (35007882).

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

20762742 is a wasteful number, since it uses less digits than its factorization.

20762742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 20762742 is about 4556.6151911260. The cubic root of 20762742 is about 274.8494691319.

The spelling of 20762742 in words is "twenty million, seven hundred sixty-two thousand, seven hundred forty-two".