1106652456 has 320 divisors, whose sum is σ = 3902976000. Its totient is φ = 291102336.

The previous prime is 1106652431. The next prime is 1106652493. The reversal of 1106652456 is 6542566011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1106652456.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2889241 + ... + 2889623.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^1106652456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106652456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951488000).

1106652456 is an abundant number, since it is smaller than the sum of its proper divisors (2796323544).

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

1106652456 is a wasteful number, since it uses less digits than its factorization.

1106652456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1106652456 is about 33266.3862780435. The cubic root of 1106652456 is about 1034.3569035829.

It can be divided in two parts, 110 and 6652456, that added together give a palindrome (6652566).

The spelling of 1106652456 in words is "one billion, one hundred six million, six hundred fifty-two thousand, four hundred fifty-six".