1082673216 has 105 divisors (see below), whose sum is σ = 3216420669. Its totient is φ = 360101376.

The previous prime is 1082673199. The next prime is 1082673217. The reversal of 1082673216 is 6123762801.

The square root of 1082673216 is 32904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 936360000 + 146313216 = 30600^2 + 12096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1082673217) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2368860 + ... + 2369316.

Almost surely, 2^1082673216 is an apocalyptic number.

1082673216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1082673216 is the 32904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082673216

1082673216 is an abundant number, since it is smaller than the sum of its proper divisors (2133747453).

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

1082673216 is an frugal number, since it uses more digits than its factorization.

1082673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 1082673216 is about 1026.8313770332.

Multiplying 1082673216 by its sum of digits (36), we get a square (38976235776 = 197424²).

1082673216 divided by its sum of digits (36) gives a square (30074256 = 5484²).

The spelling of 1082673216 in words is "one billion, eighty-two million, six hundred seventy-three thousand, two hundred sixteen".