253602690 has 96 divisors (see below), whose sum is σ = 704410560. Its totient is φ = 58227840.

The previous prime is 253602689. The next prime is 253602703. The reversal of 253602690 is 96206352.

It is a super-3 number, since 3×253602690³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67132 + ... + 70808.

It is an arithmetic number, because the mean of its divisors is an integer number (7337610).

Almost surely, 2^253602690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253602690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352205280).

253602690 is an abundant number, since it is smaller than the sum of its proper divisors (450807870).

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

253602690 is a wasteful number, since it uses less digits than its factorization.

253602690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 253602690 is about 15924.9078490269. The cubic root of 253602690 is about 632.9721742047.

The spelling of 253602690 in words is "two hundred fifty-three million, six hundred two thousand, six hundred ninety".