1073649600 has 336 divisors, whose sum is σ = 4053535200. Its totient is φ = 276111360.

The previous prime is 1073649581. The next prime is 1073649601. The reversal of 1073649600 is 69463701.

1073649600 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 49 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073649601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252372 + ... + 1253228.

Almost surely, 2^1073649600 is an apocalyptic number.

1073649600 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 1073649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026767600).

1073649600 is an abundant number, since it is smaller than the sum of its proper divisors (2979885600).

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

1073649600 is a wasteful number, since it uses less digits than its factorization.

1073649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1073649600 is about 32766.5927432194. The cubic root of 1073649600 is about 1023.9706819406.

It can be divided in two parts, 107364 and 9600, that added together give a square (116964 = 342²).

The spelling of 1073649600 in words is "one billion, seventy-three million, six hundred forty-nine thousand, six hundred".