117662820 has 144 divisors (see below), whose sum is σ = 381635520. Its totient is φ = 26991360.

The previous prime is 117662819. The next prime is 117662821. The reversal of 117662820 is 28266711.

It is an interprime number because it is at equal distance from previous prime (117662819) and next prime (117662821).

It is a super-3 number, since 3×117662820³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (117662821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137514 + ... + 138366.

Almost surely, 2^117662820 is an apocalyptic number.

117662820 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 117662820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190817760).

117662820 is an abundant number, since it is smaller than the sum of its proper divisors (263972700).

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

117662820 is a wasteful number, since it uses less digits than its factorization.

117662820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 117662820 is about 10847.2494209362. The cubic root of 117662820 is about 490.0191856989.

The spelling of 117662820 in words is "one hundred seventeen million, six hundred sixty-two thousand, eight hundred twenty".