1071493920 has 576 divisors, whose sum is σ = 4508614656. Its totient is φ = 235146240.

The previous prime is 1071493879. The next prime is 1071493931. The reversal of 1071493920 is 293941701.

1071493920 is a `hidden beast` number, since 10 + 71 + 493 + 92 + 0 = 666.

It is a super-2 number, since 2×1071493920² = 2296198441193932800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8436897 + ... + 8437023.

It is an arithmetic number, because the mean of its divisors is an integer number (7827456).

Almost surely, 2^1071493920 is an apocalyptic number.

1071493920 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 1071493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254307328).

1071493920 is an abundant number, since it is smaller than the sum of its proper divisors (3437120736).

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

1071493920 is a wasteful number, since it uses less digits than its factorization.

1071493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1071493920 is about 32733.6817360956. The cubic root of 1071493920 is about 1023.2849113124.

The spelling of 1071493920 in words is "one billion, seventy-one million, four hundred ninety-three thousand, nine hundred twenty".