53700768 has 216 divisors, whose sum is σ = 177768864. Its totient is φ = 15333120.

The previous prime is 53700767. The next prime is 53700769. The reversal of 53700768 is 86700735.

It is an interprime number because it is at equal distance from previous prime (53700767) and next prime (53700769).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53700763) 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 35 ways as a sum of consecutive naturals, for example, 801471 + ... + 801537.

It is an arithmetic number, because the mean of its divisors is an integer number (823004).

Almost surely, 2^53700768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884432).

53700768 is an abundant number, since it is smaller than the sum of its proper divisors (124068096).

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

53700768 is a wasteful number, since it uses less digits than its factorization.

53700768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 53700768 is about 7328.0807855809. The cubic root of 53700768 is about 377.2768571457.

The spelling of 53700768 in words is "fifty-three million, seven hundred thousand, seven hundred sixty-eight".