1054950336 has 336 divisors, whose sum is σ = 3514807296. Its totient is φ = 299520000.

The previous prime is 1054950331. The next prime is 1054950349. The reversal of 1054950336 is 6330594501.

1054950336 is a `hidden beast` number, since 105 + 49 + 503 + 3 + 6 = 666.

It is a super-2 number, since 2×1054950336² = 2225840422853025792, which contains 22 as substring.

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 1054950336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054950331) 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, 8052991 + ... + 8053121.

It is an arithmetic number, because the mean of its divisors is an integer number (10460736).

Almost surely, 2^1054950336 is an apocalyptic number.

1054950336 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 1054950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757403648).

1054950336 is an abundant number, since it is smaller than the sum of its proper divisors (2459856960).

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

1054950336 is a wasteful number, since it uses less digits than its factorization.

1054950336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1054950336 is about 32479.9990147783. Note that the first 3 decimals coincide. The cubic root of 1054950336 is about 1017.9911558422.

The spelling of 1054950336 in words is "one billion, fifty-four million, nine hundred fifty thousand, three hundred thirty-six".