1076493600 has 864 divisors, whose sum is σ = 4913685504. Its totient is φ = 215654400.

The previous prime is 1076493599. The next prime is 1076493611. The reversal of 1076493600 is 63946701.

1076493600 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 49 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20311174 + ... + 20311226.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^1076493600 is an apocalyptic number.

1076493600 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 1076493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456842752).

1076493600 is an abundant number, since it is smaller than the sum of its proper divisors (3837191904).

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

1076493600 is a wasteful number, since it uses less digits than its factorization.

1076493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

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

The square root of 1076493600 is about 32809.9619018371. The cubic root of 1076493600 is about 1024.8740198132.

The spelling of 1076493600 in words is "one billion, seventy-six million, four hundred ninety-three thousand, six hundred".