16348640 has 96 divisors (see below), whose sum is σ = 48190464. Its totient is φ = 5091840.

The previous prime is 16348639. The next prime is 16348667. The reversal of 16348640 is 4684361.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 16348597 and 16348606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11657 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (501984).

Almost surely, 2^16348640 is an apocalyptic number.

16348640 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 16348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095232).

16348640 is an abundant number, since it is smaller than the sum of its proper divisors (31841824).

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

16348640 is a wasteful number, since it uses less digits than its factorization.

16348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 16348640 is about 4043.3451497492. The cubic root of 16348640 is about 253.8013202354.

The spelling of 16348640 in words is "sixteen million, three hundred forty-eight thousand, six hundred forty".