53653680 has 120 divisors (see below), whose sum is σ = 184483728. Its totient is φ = 13966848.

The previous prime is 53653679. The next prime is 53653681. The reversal of 53653680 is 8635635.

It is an interprime number because it is at equal distance from previous prime (53653679) and next prime (53653681).

It is a tau number, because it is divible by the number of its divisors (120).

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 (53653681) 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 23 ways as a sum of consecutive naturals, for example, 30094 + ... + 31826.

Almost surely, 2^53653680 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 53653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92241864).

53653680 is an abundant number, since it is smaller than the sum of its proper divisors (130830048).

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

53653680 is a wasteful number, since it uses less digits than its factorization.

53653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53653680 is about 7324.8672342917. The cubic root of 53653680 is about 377.1665520335.

It can be divided in two parts, 5365 and 3680, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 53653680 in words is "fifty-three million, six hundred fifty-three thousand, six hundred eighty".