540100764 has 144 divisors (see below), whose sum is σ = 1689811200. Its totient is φ = 146118816.

The previous prime is 540100751. The next prime is 540100811. The reversal of 540100764 is 467001045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271927 + ... + 273905.

It is an arithmetic number, because the mean of its divisors is an integer number (11734800).

Almost surely, 2^540100764 is an apocalyptic number.

540100764 is a gapful number since it is divisible by the number (54) 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 540100764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844905600).

540100764 is an abundant number, since it is smaller than the sum of its proper divisors (1149710436).

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

540100764 is a wasteful number, since it uses less digits than its factorization.

540100764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 540100764 is about 23240.0680721895. The cubic root of 540100764 is about 814.3759328610.

The spelling of 540100764 in words is "five hundred forty million, one hundred thousand, seven hundred sixty-four".