1016632400 has 90 divisors (see below), whose sum is σ = 2841282990. Its totient is φ = 348552960.

The previous prime is 1016632399. The next prime is 1016632417. The reversal of 1016632400 is 42366101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1317904 + 1015314496 = 1148^2 + 31864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6335 + ... + 45534.

It is an arithmetic number, because the mean of its divisors is an integer number (31569811).

Almost surely, 2^1016632400 is an apocalyptic number.

1016632400 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 1016632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420641495).

1016632400 is an abundant number, since it is smaller than the sum of its proper divisors (1824650590).

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

1016632400 is a wasteful number, since it uses less digits than its factorization.

1016632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51901 (or 51883 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1016632400 is about 31884.6734341125. The cubic root of 1016632400 is about 1005.5136768281.

Adding to 1016632400 its reverse (42366101), we get a palindrome (1058998501).

The spelling of 1016632400 in words is "one billion, sixteen million, six hundred thirty-two thousand, four hundred".