67053780 has 108 divisors (see below), whose sum is σ = 216232380. Its totient is φ = 16816128.

The previous prime is 67053761. The next prime is 67053787. The reversal of 67053780 is 8735076.

It can be written as a sum of positive squares in 6 ways, for example, as 9809424 + 57244356 = 3132^2 + 7566^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67053787) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51376 + ... + 52664.

Almost surely, 2^67053780 is an apocalyptic number.

67053780 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 67053780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108116190).

67053780 is an abundant number, since it is smaller than the sum of its proper divisors (149178600).

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

67053780 is a wasteful number, since it uses less digits than its factorization.

67053780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1316 counting only the distinct ones).

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

The square root of 67053780 is about 8188.6372492619. The cubic root of 67053780 is about 406.2634526512.

The spelling of 67053780 in words is "sixty-seven million, fifty-three thousand, seven hundred eighty".