1036216800 has 180 divisors, whose sum is σ = 3779117496. Its totient is φ = 276307200.

The previous prime is 1036216789. The next prime is 1036216801. The reversal of 1036216800 is 86126301.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1036216800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036216801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 56805 + ... + 72795.

Almost surely, 2^1036216800 is an apocalyptic number.

1036216800 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 1036216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889558748).

1036216800 is an abundant number, since it is smaller than the sum of its proper divisors (2742900696).

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

1036216800 is a wasteful number, since it uses less digits than its factorization.

1036216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16023 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1036216800 is about 32190.3215268192. The cubic root of 1036216800 is about 1011.9293904190.

The spelling of 1036216800 in words is "one billion, thirty-six million, two hundred sixteen thousand, eight hundred".