16117440 has 112 divisors (see below), whose sum is σ = 51986688. Its totient is φ = 4230144.

The previous prime is 16117433. The next prime is 16117441. The reversal of 16117440 is 4471161.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16117440.

It is not an unprimeable number, because it can be changed into a prime (16117441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98799 + ... + 98961.

Almost surely, 2^16117440 is an apocalyptic number.

16117440 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 16117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25993344).

16117440 is an abundant number, since it is smaller than the sum of its proper divisors (35869248).

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

16117440 is a wasteful number, since it uses less digits than its factorization.

16117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 16117440 is about 4014.6531606105. The cubic root of 16117440 is about 252.5992290449.

The spelling of 16117440 in words is "sixteen million, one hundred seventeen thousand, four hundred forty".