1054863360 has 312 divisors, whose sum is σ = 3756720240. Its totient is φ = 273678336.

The previous prime is 1054863353. The next prime is 1054863361. The reversal of 1054863360 is 633684501.

1054863360 is a `hidden beast` number, since 10 + 5 + 4 + 8 + 633 + 6 + 0 = 666.

It is a super-2 number, since 2×1054863360² = 2225473416540979200, 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 (1054863361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10874832 + ... + 10874928.

It is an arithmetic number, because the mean of its divisors is an integer number (12040770).

Almost surely, 2^1054863360 is an apocalyptic number.

1054863360 is a gapful number since it is divisible by the number (10) 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 1054863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878360120).

1054863360 is an abundant number, since it is smaller than the sum of its proper divisors (2701856880).

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

1054863360 is an equidigital number, since it uses as much as digits as its factorization.

1054863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1054863360 is about 32478.6600708835. The cubic root of 1054863360 is about 1017.9631787805.

The spelling of 1054863360 in words is "one billion, fifty-four million, eight hundred sixty-three thousand, three hundred sixty".