67553280 has 144 divisors (see below), whose sum is σ = 234446940. Its totient is φ = 17989632.

The previous prime is 67553279. The next prime is 67553287. The reversal of 67553280 is 8235576.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 4064256 = 7968^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (67553287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91794 + ... + 92526.

Almost surely, 2^67553280 is an apocalyptic number.

67553280 is a gapful number since it is divisible by the number (60) 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 67553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117223470).

67553280 is an abundant number, since it is smaller than the sum of its proper divisors (166893660).

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

67553280 is a wasteful number, since it uses less digits than its factorization.

67553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 67553280 is about 8219.0802405135. The cubic root of 67553280 is about 407.2697433300.

The spelling of 67553280 in words is "sixty-seven million, five hundred fifty-three thousand, two hundred eighty".