1081657080 has 576 divisors, whose sum is σ = 4493361600. Its totient is φ = 220631040.

The previous prime is 1081657037. The next prime is 1081657111. The reversal of 1081657080 is 807561801.

1081657080 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 6 + 570 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26381860 + ... + 26381900.

It is an arithmetic number, because the mean of its divisors is an integer number (7800975).

Almost surely, 2^1081657080 is an apocalyptic number.

1081657080 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 1081657080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246680800).

1081657080 is an abundant number, since it is smaller than the sum of its proper divisors (3411704520).

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

1081657080 is a wasteful number, since it uses less digits than its factorization.

1081657080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1081657080 is about 32888.5554562678. Note that the first 3 decimals coincide. The cubic root of 1081657080 is about 1026.5100344808.

It can be divided in two parts, 10816 and 57080, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 1081657080 in words is "one billion, eighty-one million, six hundred fifty-seven thousand, eighty".