54760000 has 105 divisors (see below), whose sum is σ = 139556109. Its totient is φ = 21312000.

The previous prime is 54759983. The next prime is 54760003. The reversal of 54760000 is 6745.

The square root of 54760000 is 7400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 18181696 + 36578304 = 4264^2 + 6048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54760003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1479982 + ... + 1480018.

Almost surely, 2^54760000 is an apocalyptic number.

54760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54760000 is the 7400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54760000

54760000 is an abundant number, since it is smaller than the sum of its proper divisors (84796109).

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

54760000 is an frugal number, since it uses more digits than its factorization.

54760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The cubic root of 54760000 is about 379.7412828068.

Adding to 54760000 its reverse (6745), we get a palindrome (54766745).

The spelling of 54760000 in words is "fifty-four million, seven hundred sixty thousand".