1040793600 has 540 divisors, whose sum is σ = 4323146912. Its totient is φ = 216268800.

The previous prime is 1040793541. The next prime is 1040793641. The reversal of 1040793600 is 63970401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94617595 + ... + 94617605.

Almost surely, 2^1040793600 is an apocalyptic number.

1040793600 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 1040793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161573456).

1040793600 is an abundant number, since it is smaller than the sum of its proper divisors (3282353312).

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

1040793600 is an equidigital number, since it uses as much as digits as its factorization.

1040793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1040793600 is about 32261.3328924891. The cubic root of 1040793600 is about 1013.4170444849.

The spelling of 1040793600 in words is "one billion, forty million, seven hundred ninety-three thousand, six hundred".