1040590800 has 150 divisors (see below), whose sum is σ = 3734713158. Its totient is φ = 277482240.

The previous prime is 1040590799. The next prime is 1040590801. The reversal of 1040590800 is 80950401.

It is an interprime number because it is at equal distance from previous prime (1040590799) and next prime (1040590801).

It can be written as a sum of positive squares in 3 ways, for example, as 7096896 + 1033493904 = 2664^2 + 32148^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040590801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16342 + ... + 48458.

Almost surely, 2^1040590800 is an apocalyptic number.

1040590800 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 1040590800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867356579).

1040590800 is an abundant number, since it is smaller than the sum of its proper divisors (2694122358).

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

1040590800 is a wasteful number, since it uses less digits than its factorization.

1040590800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32147 (or 32127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1040590800 is about 32258.1896578218. The cubic root of 1040590800 is about 1013.3512183285.

The spelling of 1040590800 in words is "one billion, forty million, five hundred ninety thousand, eight hundred".