16478640 has 100 divisors (see below), whose sum is σ = 57255264. Its totient is φ = 4392576.

The previous prime is 16478599. The next prime is 16478659. The reversal of 16478640 is 4687461.

16478640 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16478595 and 16478604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5209 + ... + 7751.

Almost surely, 2^16478640 is an apocalyptic number.

16478640 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 16478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28627632).

16478640 is an abundant number, since it is smaller than the sum of its proper divisors (40776624).

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

16478640 is a wasteful number, since it uses less digits than its factorization.

16478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 16478640 is about 4059.3891166036. The cubic root of 16478640 is about 254.4722649813.

The spelling of 16478640 in words is "sixteen million, four hundred seventy-eight thousand, six hundred forty".