18896640 has 288 divisors, whose sum is σ = 74565120. Its totient is φ = 3981312.

The previous prime is 18896629. The next prime is 18896681. The reversal of 18896640 is 4669881.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 18896592 and 18896601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510702 + ... + 510738.

Almost surely, 2^18896640 is an apocalyptic number.

18896640 is a gapful number since it is divisible by the number (10) 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 18896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37282560).

18896640 is an abundant number, since it is smaller than the sum of its proper divisors (55668480).

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

18896640 is a wasteful number, since it uses less digits than its factorization.

18896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 18896640 is about 4347.0265699671. The cubic root of 18896640 is about 266.3554146273.

The spelling of 18896640 in words is "eighteen million, eight hundred ninety-six thousand, six hundred forty".