53763264 has 84 divisors (see below), whose sum is σ = 159856424. Its totient is φ = 17915904.

The previous prime is 53763263. The next prime is 53763271. The reversal of 53763264 is 46236735.

53763264 is a `hidden beast` number, since 537 + 63 + 2 + 64 = 666.

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 (53763263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13824 + ... + 17280.

Almost surely, 2^53763264 is an apocalyptic number.

53763264 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 53763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79928212).

53763264 is an abundant number, since it is smaller than the sum of its proper divisors (106093160).

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

53763264 is an equidigital number, since it uses as much as digits as its factorization.

53763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3462 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 53763264 is about 7332.3436907990. The cubic root of 53763264 is about 377.4231564420.

Adding to 53763264 its reverse (46236735), we get a palindrome (99999999).

The spelling of 53763264 in words is "fifty-three million, seven hundred sixty-three thousand, two hundred sixty-four".