10617984 has 96 divisors (see below), whose sum is σ = 32951100. Its totient is φ = 3262464.

The previous prime is 10617949. The next prime is 10617989. The reversal of 10617984 is 48971601.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 1617984 = 3000^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10617984² = 225483168448512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10617989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14622 + ... + 15330.

Almost surely, 2^10617984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475550).

10617984 is an abundant number, since it is smaller than the sum of its proper divisors (22333116).

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

10617984 is a wasteful number, since it uses less digits than its factorization.

10617984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10617984 is about 3258.5248196078. The cubic root of 10617984 is about 219.7930836872.

It can be divided in two parts, 1061 and 7984, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 10617984 in words is "ten million, six hundred seventeen thousand, nine hundred eighty-four".