1054269216 has 768 divisors, whose sum is σ = 4389396480. Its totient is φ = 237219840.

The previous prime is 1054269211. The next prime is 1054269217. The reversal of 1054269216 is 6129624501.

1054269216 is a `hidden beast` number, since 10 + 5 + 426 + 9 + 216 = 666.

It is a super-2 number, since 2×1054269216² = 2222967159610509312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1054269211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19891846 + ... + 19891898.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^1054269216 is an apocalyptic number.

1054269216 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 1054269216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

1054269216 is an abundant number, since it is smaller than the sum of its proper divisors (3335127264).

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

1054269216 is a wasteful number, since it uses less digits than its factorization.

1054269216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1054269216 is about 32469.5120998145. The cubic root of 1054269216 is about 1017.7720228051.

The spelling of 1054269216 in words is "one billion, fifty-four million, two hundred sixty-nine thousand, two hundred sixteen".