1353062880 has 288 divisors, whose sum is σ = 5158599264. Its totient is φ = 332937216.

The previous prime is 1353062869. The next prime is 1353062881. The reversal of 1353062880 is 882603531.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1353062881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504102 + ... + 506778.

It is an arithmetic number, because the mean of its divisors is an integer number (17911803).

Almost surely, 2^1353062880 is an apocalyptic number.

1353062880 is a gapful number since it is divisible by the number (10) 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 1353062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579299632).

1353062880 is an abundant number, since it is smaller than the sum of its proper divisors (3805536384).

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

1353062880 is a wasteful number, since it uses less digits than its factorization.

1353062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1353062880 is about 36784.0030448020. The cubic root of 1353062880 is about 1106.0446513414.

The spelling of 1353062880 in words is "one billion, three hundred fifty-three million, sixty-two thousand, eight hundred eighty".