20029680 has 200 divisors, whose sum is σ = 76160304. Its totient is φ = 4838400.

The previous prime is 20029663. The next prime is 20029693. The reversal of 20029680 is 8692002.

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 39 ways as a sum of consecutive naturals, for example, 71140 + ... + 71420.

Almost surely, 2^20029680 is an apocalyptic number.

20029680 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 20029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080152).

20029680 is an abundant number, since it is smaller than the sum of its proper divisors (56130624).

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

20029680 is a wasteful number, since it uses less digits than its factorization.

20029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20029680 is about 4475.4530496923. The cubic root of 20029680 is about 271.5759684852.

The spelling of 20029680 in words is "twenty million, twenty-nine thousand, six hundred eighty".