20077540 has 48 divisors (see below), whose sum is σ = 48996864. Its totient is φ = 6768000.

The previous prime is 20077537. The next prime is 20077543. The reversal of 20077540 is 4577002.

It is an interprime number because it is at equal distance from previous prime (20077537) and next prime (20077543).

It is a super-2 number, since 2×20077540² = 806215224903200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20077543) 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 15 ways as a sum of consecutive naturals, for example, 7365 + ... + 9715.

It is an arithmetic number, because the mean of its divisors is an integer number (1020768).

Almost surely, 2^20077540 is an apocalyptic number.

20077540 is a gapful number since it is divisible by the number (20) 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 20077540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498432).

20077540 is an abundant number, since it is smaller than the sum of its proper divisors (28919324).

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

20077540 is a wasteful number, since it uses less digits than its factorization.

20077540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 20077540 is about 4480.7968041410. The cubic root of 20077540 is about 271.7921025283.

The spelling of 20077540 in words is "twenty million, seventy-seven thousand, five hundred forty".