1016632320 has 264 divisors, whose sum is σ = 3580645152. Its totient is φ = 246005760.

The previous prime is 1016632303. The next prime is 1016632327. The reversal of 1016632320 is 232366101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 (1016632327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858287 + ... + 1858833.

Almost surely, 2^1016632320 is an apocalyptic number.

1016632320 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 1016632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790322576).

1016632320 is an abundant number, since it is smaller than the sum of its proper divisors (2564012832).

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

1016632320 is a wasteful number, since it uses less digits than its factorization.

1016632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1016632320 is about 31884.6721795912. The cubic root of 1016632320 is about 1005.5136504531.

Adding to 1016632320 its reverse (232366101), we get a palindrome (1248998421).

It can be divided in two parts, 10166 and 32320, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 1016632320 in words is "one billion, sixteen million, six hundred thirty-two thousand, three hundred twenty".