1353198640 has 80 divisors (see below), whose sum is σ = 3341973600. Its totient is φ = 507801600.

The previous prime is 1353198599. The next prime is 1353198643. The reversal of 1353198640 is 468913531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1353198640² = 3662293118595699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1353198593 and 1353198602.

It is not an unprimeable number, because it can be changed into a prime (1353198643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473215 + ... + 476065.

It is an arithmetic number, because the mean of its divisors is an integer number (41774670).

Almost surely, 2^1353198640 is an apocalyptic number.

1353198640 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 1353198640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670986800).

1353198640 is an abundant number, since it is smaller than the sum of its proper divisors (1988774960).

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

1353198640 is a wasteful number, since it uses less digits than its factorization.

1353198640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1353198640 is about 36785.8483659138. The cubic root of 1353198640 is about 1106.0816418864.

The spelling of 1353198640 in words is "one billion, three hundred fifty-three million, one hundred ninety-eight thousand, six hundred forty".