54735000 has 160 divisors (see below), whose sum is σ = 177130800. Its totient is φ = 14080000.

The previous prime is 54734989. The next prime is 54735007. The reversal of 54735000 is 53745.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54735007) 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, 614956 + ... + 615044.

Almost surely, 2^54735000 is an apocalyptic number.

54735000 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 54735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565400).

54735000 is an abundant number, since it is smaller than the sum of its proper divisors (122395800).

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

54735000 is a wasteful number, since it uses less digits than its factorization.

54735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 54735000 is about 7398.3106179722. The cubic root of 54735000 is about 379.6834852833.

Adding to 54735000 its reverse (53745), we get a palindrome (54788745).

It can be divided in two parts, 54 and 735000, that multiplied together give a square (39690000 = 6300²).

The spelling of 54735000 in words is "fifty-four million, seven hundred thirty-five thousand".