1035878040 has 192 divisors, whose sum is σ = 3438489600. Its totient is φ = 270418176.

The previous prime is 1035878033. The next prime is 1035878083. The reversal of 1035878040 is 408785301.

It is a super-3 number, since 3×1035878040³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1035877986 and 1035878004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6354999 + ... + 6355161.

It is an arithmetic number, because the mean of its divisors is an integer number (17908800).

Almost surely, 2^1035878040 is an apocalyptic number.

1035878040 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 1035878040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719244800).

1035878040 is an abundant number, since it is smaller than the sum of its proper divisors (2402611560).

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

1035878040 is a wasteful number, since it uses less digits than its factorization.

1035878040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1035878040 is about 32185.0592666846. The cubic root of 1035878040 is about 1011.8191050799.

The spelling of 1035878040 in words is "one billion, thirty-five million, eight hundred seventy-eight thousand, forty".