689520 has 120 divisors (see below), whose sum is σ = 2450736. Its totient is φ = 159744.

The previous prime is 689509. The next prime is 689551. The reversal of 689520 is 25986.

689520 = 131² + 132² + ... + 162².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40552 + ... + 40568.

2⁶⁸⁹⁵²⁰ is an apocalyptic number.

689520 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 689520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225368).

689520 is an abundant number, since it is smaller than the sum of its proper divisors (1761216).

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

689520 is a wasteful number, since it uses less digits than its factorization.

689520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 689520 is about 830.3734099789. The cubic root of 689520 is about 88.3450639063.

The spelling of 689520 in words is "six hundred eighty-nine thousand, five hundred twenty".