1054964736 has 440 divisors, whose sum is σ = 3804472320. Its totient is φ = 284663808.

The previous prime is 1054964731. The next prime is 1054964741. The reversal of 1054964736 is 6374694501.

1054964736 is a `hidden beast` number, since 10 + 549 + 64 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1054964731) and next prime (1054964741).

It is a super-2 number, since 2×1054964736² = 2225901188407099392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054964691 and 1054964700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054964731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13353945 + ... + 13354023.

It is an arithmetic number, because the mean of its divisors is an integer number (8646528).

Almost surely, 2^1054964736 is an apocalyptic number.

1054964736 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 1054964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902236160).

1054964736 is an abundant number, since it is smaller than the sum of its proper divisors (2749507584).

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

1054964736 is an equidigital number, since it uses as much as digits as its factorization.

1054964736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1054964736 is about 32480.2206889054. The cubic root of 1054964736 is about 1017.9957876577.

The spelling of 1054964736 in words is "one billion, fifty-four million, nine hundred sixty-four thousand, seven hundred thirty-six".