10616736 has 96 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3179520.

The previous prime is 10616717. The next prime is 10616741. The reversal of 10616736 is 63761601.

10616736 = T₂₄₈ + T₂₄₉ + ... + T₄₂₈.

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

It is a super-2 number, since 2×10616736² = 225430166587392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58566 + ... + 58746.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^10616736 is an apocalyptic number.

10616736 is a gapful number since it is divisible by the number (16) 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 10616736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

10616736 is an abundant number, since it is smaller than the sum of its proper divisors (20203872).

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

10616736 is a wasteful number, since it uses less digits than its factorization.

10616736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10616736 is about 3258.3333162830. Note that the first 4 decimals coincide. The cubic root of 10616736 is about 219.7844721179.

The spelling of 10616736 in words is "ten million, six hundred sixteen thousand, seven hundred thirty-six".