1035674880 has 144 divisors (see below), whose sum is σ = 3328940160. Its totient is φ = 274407424.

The previous prime is 1035674873. The next prime is 1035674891. The reversal of 1035674880 is 884765301.

It is a super-3 number, since 3×1035674880³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663541 + ... + 665099.

It is an arithmetic number, because the mean of its divisors is an integer number (23117640).

Almost surely, 2^1035674880 is an apocalyptic number.

1035674880 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 1035674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664470080).

1035674880 is an abundant number, since it is smaller than the sum of its proper divisors (2293265280).

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

1035674880 is a wasteful number, since it uses less digits than its factorization.

1035674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1035674880 is about 32181.9029891024. The cubic root of 1035674880 is about 1011.7529535958.

The spelling of 1035674880 in words is "one billion, thirty-five million, six hundred seventy-four thousand, eight hundred eighty".