1072088640 has 504 divisors, whose sum is σ = 4390656192. Its totient is φ = 239339520.

The previous prime is 1072088557. The next prime is 1072088669. The reversal of 1072088640 is 468802701.

1072088640 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1072088640² = 2298748104034099200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1072088595 and 1072088604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10019467 + ... + 10019573.

Almost surely, 2^1072088640 is an apocalyptic number.

1072088640 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 1072088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195328096).

1072088640 is an abundant number, since it is smaller than the sum of its proper divisors (3318567552).

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

1072088640 is a wasteful number, since it uses less digits than its factorization.

1072088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1072088640 is about 32742.7646969525. The cubic root of 1072088640 is about 1023.4741970168.

The spelling of 1072088640 in words is "one billion, seventy-two million, eighty-eight thousand, six hundred forty".