20049120 has 480 divisors, whose sum is σ = 92207808. Its totient is φ = 3981312.

The previous prime is 20049101. The next prime is 20049131. The reversal of 20049120 is 2194002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20049093 and 20049102.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 510 × 78 × 504.

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, 1179352 + ... + 1179368.

Almost surely, 2^20049120 is an apocalyptic number.

20049120 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 20049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46103904).

20049120 is an abundant number, since it is smaller than the sum of its proper divisors (72158688).

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

20049120 is a wasteful number, since it uses less digits than its factorization.

20049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20049120 is about 4477.6243701320. The cubic root of 20049120 is about 271.6638003052.

The spelling of 20049120 in words is "twenty million, forty-nine thousand, one hundred twenty".