1070829408 has 192 divisors, whose sum is σ = 3222374400. Its totient is φ = 308367360.

The previous prime is 1070829367. The next prime is 1070829421. The reversal of 1070829408 is 8049280701.

It is a super-2 number, since 2×1070829408² = 2293351242075260928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235313 + ... + 2235791.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2^1070829408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070829408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611187200).

1070829408 is an abundant number, since it is smaller than the sum of its proper divisors (2151544992).

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

1070829408 is a wasteful number, since it uses less digits than its factorization.

1070829408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1070829408 is about 32723.5298829451. The cubic root of 1070829408 is about 1023.0733295484.

The spelling of 1070829408 in words is "one billion, seventy million, eight hundred twenty-nine thousand, four hundred eight".