1253620368 has 480 divisors, whose sum is σ = 4879687680. Its totient is φ = 299220480.

The previous prime is 1253620367. The next prime is 1253620373. The reversal of 1253620368 is 8630263521.

It is a happy number.

1253620368 is a `hidden beast` number, since 1 + 25 + 3 + 620 + 3 + 6 + 8 = 666.

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 (1253620367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5621505 + ... + 5621727.

It is an arithmetic number, because the mean of its divisors is an integer number (10166016).

Almost surely, 2^1253620368 is an apocalyptic number.

1253620368 is a gapful number since it is divisible by the number (18) 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 1253620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439843840).

1253620368 is an abundant number, since it is smaller than the sum of its proper divisors (3626067312).

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

1253620368 is a wasteful number, since it uses less digits than its factorization.

1253620368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1253620368 is about 35406.5017758038. The cubic root of 1253620368 is about 1078.2563221207.

Adding to 1253620368 its reverse (8630263521), we get a palindrome (9883883889).

The spelling of 1253620368 in words is "one billion, two hundred fifty-three million, six hundred twenty thousand, three hundred sixty-eight".