20492160 has 128 divisors (see below), whose sum is σ = 70428960. Its totient is φ = 5038080.

The previous prime is 20492107. The next prime is 20492201. The reversal of 20492160 is 6129402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20492160.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24550 + ... + 25370.

Almost surely, 2^20492160 is an apocalyptic number.

20492160 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 20492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35214480).

20492160 is an abundant number, since it is smaller than the sum of its proper divisors (49936800).

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

20492160 is a wasteful number, since it uses less digits than its factorization.

20492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20492160 is about 4526.8267031111. The cubic root of 20492160 is about 273.6502899931.

The spelling of 20492160 in words is "twenty million, four hundred ninety-two thousand, one hundred sixty".