1011291216 has 80 divisors (see below), whose sum is σ = 2825652480. Its totient is φ = 309818880.

The previous prime is 1011291191. The next prime is 1011291217. The reversal of 1011291216 is 6121921101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011291217) 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, 145746 + ... + 152526.

It is an arithmetic number, because the mean of its divisors is an integer number (35320656).

Almost surely, 2^1011291216 is an apocalyptic number.

1011291216 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 1011291216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412826240).

1011291216 is an abundant number, since it is smaller than the sum of its proper divisors (1814361264).

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

1011291216 is a wasteful number, since it uses less digits than its factorization.

1011291216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The square root of 1011291216 is about 31800.8052728229. The cubic root of 1011291216 is about 1003.7496611347.

The spelling of 1011291216 in words is "one billion, eleven million, two hundred ninety-one thousand, two hundred sixteen".