54640600 has 96 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 18115200.

The previous prime is 54640591. The next prime is 54640609. The reversal of 54640600 is 604645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54640591) and next prime (54640609).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54640609) 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, 42771 + ... + 44029.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^54640600 is an apocalyptic number.

54640600 is a gapful number since it is divisible by the number (50) 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 54640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

54640600 is an abundant number, since it is smaller than the sum of its proper divisors (95349800).

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

54640600 is a wasteful number, since it uses less digits than its factorization.

54640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54640600 is about 7391.9280299527. The cubic root of 54640600 is about 379.4650830051.

The spelling of 54640600 in words is "fifty-four million, six hundred forty thousand, six hundred".