1084916352 has 128 divisors (see below), whose sum is σ = 3148225920. Its totient is φ = 329011200.

The previous prime is 1084916351. The next prime is 1084916363. The reversal of 1084916352 is 2536194801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1084916352.

It is not an unprimeable number, because it can be changed into a prime (1084916351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352902 + ... + 355962.

It is an arithmetic number, because the mean of its divisors is an integer number (24595515).

Almost surely, 2^1084916352 is an apocalyptic number.

1084916352 is a gapful number since it is divisible by the number (12) 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 1084916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574112960).

1084916352 is an abundant number, since it is smaller than the sum of its proper divisors (2063309568).

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

1084916352 is a wasteful number, since it uses less digits than its factorization.

1084916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1084916352 is about 32938.0684315277. The cubic root of 1084916352 is about 1027.5400345517.

The spelling of 1084916352 in words is "one billion, eighty-four million, nine hundred sixteen thousand, three hundred fifty-two".