63690 has 32 divisors (see below), whose sum is σ = 167616. Its totient is φ = 15360.

The previous prime is 63689. The next prime is 63691. The reversal of 63690 is 9636.

It is an interprime number because it is at equal distance from previous prime (63689) and next prime (63691).

It is a super-2 number, since 2×63690² = 8112832200, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 63690.

It is not an unprimeable number, because it can be changed into a prime (63691) 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, 234 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (5238).

2⁶³⁶⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83808).

63690 is an abundant number, since it is smaller than the sum of its proper divisors (103926).

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

63690 is a wasteful number, since it uses less digits than its factorization.

63690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 63690 is about 252.3687777836. The cubic root of 63690 is about 39.9353121100.

The spelling of 63690 in words is "sixty-three thousand, six hundred ninety".