1070957000 has 128 divisors (see below), whose sum is σ = 2614809600. Its totient is φ = 410112000.

The previous prime is 1070956963. The next prime is 1070957003. The reversal of 1070957000 is 7590701.

It is a super-2 number, since 2×1070957000² = 2293897791698000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070957003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5548904 + ... + 5549096.

It is an arithmetic number, because the mean of its divisors is an integer number (20428200).

Almost surely, 2^1070957000 is an apocalyptic number.

1070957000 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 1070957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307404800).

1070957000 is an abundant number, since it is smaller than the sum of its proper divisors (1543852600).

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

1070957000 is a wasteful number, since it uses less digits than its factorization.

1070957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 1070957000 is about 32725.4793700566. The cubic root of 1070957000 is about 1023.1139618493.

The spelling of 1070957000 in words is "one billion, seventy million, nine hundred fifty-seven thousand".