1061217792 has 480 divisors, whose sum is σ = 3676907520. Its totient is φ = 291962880.

The previous prime is 1061217791. The next prime is 1061217797. The reversal of 1061217792 is 2977121601.

It is a happy number.

It is a super-2 number, since 2×1061217792² = 2252366404114710528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061217791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34232817 + ... + 34232847.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^1061217792 is an apocalyptic number.

1061217792 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 1061217792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

1061217792 is an abundant number, since it is smaller than the sum of its proper divisors (2615689728).

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

1061217792 is a wasteful number, since it uses less digits than its factorization.

1061217792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1061217792 is about 32576.3379157326. The cubic root of 1061217792 is about 1020.0031372453.

The spelling of 1061217792 in words is "one billion, sixty-one million, two hundred seventeen thousand, seven hundred ninety-two".