16612890 has 64 divisors (see below), whose sum is σ = 45895680. Its totient is φ = 3769920.

The previous prime is 16612879. The next prime is 16612891. The reversal of 16612890 is 9821661.

It is a super-2 number, since 2×16612890² = 551976228304200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16612891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50025 + ... + 50355.

It is an arithmetic number, because the mean of its divisors is an integer number (717120).

Almost surely, 2^16612890 is an apocalyptic number.

16612890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16612890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22947840).

16612890 is an abundant number, since it is smaller than the sum of its proper divisors (29282790).

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

16612890 is a wasteful number, since it uses less digits than its factorization.

16612890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 16612890 is about 4075.8913135657. The cubic root of 16612890 is about 255.1614510059.

The spelling of 16612890 in words is "sixteen million, six hundred twelve thousand, eight hundred ninety".