1073606400 has 540 divisors, whose sum is σ = 4216874200. Its totient is φ = 268738560.

The previous prime is 1073606399. The next prime is 1073606431. The reversal of 1073606400 is 46063701.

1073606400 = 125³ + 126³ + ... + 259³.

1073606400 is a `hidden beast` number, since 10 + 7 + 3 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 9849546 + ... + 9849654.

Almost surely, 2^1073606400 is an apocalyptic number.

1073606400 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 1073606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108437100).

1073606400 is an abundant number, since it is smaller than the sum of its proper divisors (3143267800).

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

1073606400 is a wasteful number, since it uses less digits than its factorization.

1073606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1073606400 is about 32765.9335285903. The cubic root of 1073606400 is about 1023.9569480598.

The spelling of 1073606400 in words is "one billion, seventy-three million, six hundred six thousand, four hundred".