20286624 has 24 divisors (see below), whose sum is σ = 53252640. Its totient is φ = 6762176.

The previous prime is 20286613. The next prime is 20286653. The reversal of 20286624 is 42668202.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×20286624² = 823094226634752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20286591 and 20286600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105564 + ... + 105755.

It is an arithmetic number, because the mean of its divisors is an integer number (2218860).

Almost surely, 2^20286624 is an apocalyptic number.

20286624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20286624 is an abundant number, since it is smaller than the sum of its proper divisors (32966016).

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

20286624 is a wasteful number, since it uses less digits than its factorization.

20286624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211332 (or 211324 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20286624 is about 4504.0674950538. The cubic root of 20286624 is about 272.7323115029.

It can be divided in two parts, 20286 and 624, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 20286624 in words is "twenty million, two hundred eighty-six thousand, six hundred twenty-four".