53577720 has 256 divisors, whose sum is σ = 215424000. Its totient is φ = 11570688.

The previous prime is 53577709. The next prime is 53577731. The reversal of 53577720 is 2777535.

It is an interprime number because it is at equal distance from previous prime (53577709) and next prime (53577731).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143454 + ... + 143826.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 2^53577720 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 53577720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000).

53577720 is an abundant number, since it is smaller than the sum of its proper divisors (161846280).

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

53577720 is a wasteful number, since it uses less digits than its factorization.

53577720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 53577720 is about 7319.6803208883. The cubic root of 53577720 is about 376.9884772515.

The spelling of 53577720 in words is "fifty-three million, five hundred seventy-seven thousand, seven hundred twenty".