1087601216 has 56 divisors (see below), whose sum is σ = 2353787520. Its totient is φ = 495585792.

The previous prime is 1087601201. The next prime is 1087601243. The reversal of 1087601216 is 6121067801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57455 + ... + 74001.

It is an arithmetic number, because the mean of its divisors is an integer number (42031920).

Almost surely, 2^1087601216 is an apocalyptic number.

1087601216 is a gapful number since it is divisible by the number (16) 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 1087601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176893760).

1087601216 is an abundant number, since it is smaller than the sum of its proper divisors (1266186304).

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

1087601216 is a wasteful number, since it uses less digits than its factorization.

1087601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16651 (or 16641 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 1087601216 is about 32978.7994930076. The cubic root of 1087601216 is about 1028.3869608636.

The spelling of 1087601216 in words is "one billion, eighty-seven million, six hundred one thousand, two hundred sixteen".