20677410 has 128 divisors (see below), whose sum is σ = 61205760. Its totient is φ = 4935168.

The previous prime is 20677387. The next prime is 20677411. The reversal of 20677410 is 1477602.

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

It is not an unprimeable number, because it can be changed into a prime (20677411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150862 + ... + 150998.

It is an arithmetic number, because the mean of its divisors is an integer number (478170).

Almost surely, 2^20677410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20677410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602880).

20677410 is an abundant number, since it is smaller than the sum of its proper divisors (40528350).

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

20677410 is a wasteful number, since it uses less digits than its factorization.

20677410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20677410 is about 4547.2420212696. The cubic root of 20677410 is about 274.4724210102.

The spelling of 20677410 in words is "twenty million, six hundred seventy-seven thousand, four hundred ten".