53577216 has 240 divisors, whose sum is σ = 194059008. Its totient is φ = 13824000.

The previous prime is 53577203. The next prime is 53577233. The reversal of 53577216 is 61277535.

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 23 ways as a sum of consecutive naturals, for example, 354741 + ... + 354891.

Almost surely, 2^53577216 is an apocalyptic number.

53577216 is a gapful number since it is divisible by the number (56) 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 53577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504).

53577216 is an abundant number, since it is smaller than the sum of its proper divisors (140481792).

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

53577216 is a wasteful number, since it uses less digits than its factorization.

53577216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 53577216 is about 7319.6458930743. The cubic root of 53577216 is about 376.9872951508.

The spelling of 53577216 in words is "fifty-three million, five hundred seventy-seven thousand, two hundred sixteen".