690120 has 96 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 181440.

The previous prime is 690119. The next prime is 690127. The reversal of 690120 is 21096.

It is a super-2 number, since 2×690120² = 952531228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 690093 and 690102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9685 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁶⁹⁰¹²⁰ is an apocalyptic number.

690120 is a gapful number since it is divisible by the number (60) 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 690120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

690120 is an abundant number, since it is smaller than the sum of its proper divisors (1668600).

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

690120 is a wasteful number, since it uses less digits than its factorization.

690120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 690120 is about 830.7346146634. The cubic root of 690120 is about 88.3706815682.

The spelling of 690120 in words is "six hundred ninety thousand, one hundred twenty".