10016000 has 72 divisors (see below), whose sum is σ = 25030824. Its totient is φ = 3993600.

The previous prime is 10015979. The next prime is 10016023. The reversal of 10016000 is 61001.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 7139584 = 1696^2 + 2672^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31844 + ... + 32156.

Almost surely, 2^10016000 is an apocalyptic number.

10016000 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 10016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515412).

10016000 is an abundant number, since it is smaller than the sum of its proper divisors (15014824).

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

10016000 is an frugal number, since it uses more digits than its factorization.

10016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10016000 is about 3164.8064711764. The cubic root of 10016000 is about 215.5583109594.

Adding to 10016000 its reverse (61001), we get a palindrome (10077001).

The spelling of 10016000 in words is "ten million, sixteen thousand".