1035366640 has 160 divisors (see below), whose sum is σ = 3178082304. Its totient is φ = 303697920.

The previous prime is 1035366569. The next prime is 1035366707. The reversal of 1035366640 is 466635301.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1035366596 and 1035366605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99777 + ... + 109663.

Almost surely, 2^1035366640 is an apocalyptic number.

1035366640 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 1035366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589041152).

1035366640 is an abundant number, since it is smaller than the sum of its proper divisors (2142715664).

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

1035366640 is a wasteful number, since it uses less digits than its factorization.

1035366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 1035366640 is about 32177.1136057913. The cubic root of 1035366640 is about 1011.6525702030.

The spelling of 1035366640 in words is "one billion, thirty-five million, three hundred sixty-six thousand, six hundred forty".