1061016000 has 224 divisors, whose sum is σ = 3822923520. Its totient is φ = 257152000.

The previous prime is 1061015987. The next prime is 1061016017. The reversal of 1061016000 is 6101601.

It is a super-3 number, since 3×1061016000³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261991 + ... + 266009.

Almost surely, 2^1061016000 is an apocalyptic number.

1061016000 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 1061016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911461760).

1061016000 is an abundant number, since it is smaller than the sum of its proper divisors (2761907520).

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

1061016000 is a wasteful number, since it uses less digits than its factorization.

1061016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1061016000 is about 32573.2405511027. The cubic root of 1061016000 is about 1019.9384814878.

Adding to 1061016000 its reverse (6101601), we get a palindrome (1067117601).

It can be divided in two parts, 106101 and 6000, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 1061016000 in words is "one billion, sixty-one million, sixteen thousand".