20490624 has 288 divisors, whose sum is σ = 77326200. Its totient is φ = 5322240.

The previous prime is 20490623. The next prime is 20490649. The reversal of 20490624 is 42609402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20490623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1862779 + ... + 1862789.

Almost surely, 2^20490624 is an apocalyptic number.

20490624 is a gapful number since it is divisible by the number (24) 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 20490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38663100).

20490624 is an abundant number, since it is smaller than the sum of its proper divisors (56835576).

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

20490624 is a wasteful number, since it uses less digits than its factorization.

20490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20490624 is about 4526.6570446633. The cubic root of 20490624 is about 273.6434526246.

Multiplying 20490624 by its product of nonzero digits (3456), we get a square (70815596544 = 266112²).

20490624 divided by its product of nonzero digits (3456) gives a square (5929 = 77²).

The spelling of 20490624 in words is "twenty million, four hundred ninety thousand, six hundred twenty-four".