10016736 has 48 divisors (see below), whose sum is σ = 26506368. Its totient is φ = 3312000.

The previous prime is 10016719. The next prime is 10016737. The reversal of 10016736 is 63761001.

10016736 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14151 + ... + 14841.

It is an arithmetic number, because the mean of its divisors is an integer number (552216).

Almost surely, 2^10016736 is an apocalyptic number.

10016736 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 10016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253184).

10016736 is an abundant number, since it is smaller than the sum of its proper divisors (16489632).

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

10016736 is a wasteful number, since it uses less digits than its factorization.

10016736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10016736 is about 3164.9227478724. The cubic root of 10016736 is about 215.5635907461.

Adding to 10016736 its reverse (63761001), we get a palindrome (73777737).

It can be divided in two parts, 100 and 16736, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 10016736 in words is "ten million, sixteen thousand, seven hundred thirty-six".