20434680 has 320 divisors, whose sum is σ = 84680640. Its totient is φ = 4313088.

The previous prime is 20434651. The next prime is 20434703. The reversal of 20434680 is 8643402.

It is a super-2 number, since 2×20434680² = 835152293404800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385534 + ... + 385586.

It is an arithmetic number, because the mean of its divisors is an integer number (264627).

Almost surely, 2^20434680 is an apocalyptic number.

20434680 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 20434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42340320).

20434680 is an abundant number, since it is smaller than the sum of its proper divisors (64245960).

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

20434680 is a wasteful number, since it uses less digits than its factorization.

20434680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20434680 is about 4520.4734265340. The cubic root of 20434680 is about 273.3941896356.

The spelling of 20434680 in words is "twenty million, four hundred thirty-four thousand, six hundred eighty".