1050645600 has 288 divisors, whose sum is σ = 3839754240. Its totient is φ = 277240320.

The previous prime is 1050645587. The next prime is 1050645613. The reversal of 1050645600 is 65460501.

It is a happy number.

1050645600 is a `hidden beast` number, since 1 + 0 + 50 + 6 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1050645587) and next prime (1050645613).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1050645600² = 2207712353598720000, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743009 + ... + 2743391.

It is an arithmetic number, because the mean of its divisors is an integer number (13332480).

Almost surely, 2^1050645600 is an apocalyptic number.

1050645600 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 1050645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919877120).

1050645600 is an abundant number, since it is smaller than the sum of its proper divisors (2789108640).

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

1050645600 is a wasteful number, since it uses less digits than its factorization.

1050645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1050645600 is about 32413.6637855087. The cubic root of 1050645600 is about 1016.6046269885.

The spelling of 1050645600 in words is "one billion, fifty million, six hundred forty-five thousand, six hundred".