690535440 has 540 divisors, whose sum is σ = 2896275564. Its totient is φ = 146893824.

The previous prime is 690535379. The next prime is 690535441. The reversal of 690535440 is 44535096.

It is a happy number.

690535440 is a `hidden beast` number, since 69 + 0 + 53 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 451647504 + 238887936 = 21252^2 + 15456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 690535395 and 690535404.

It is not an unprimeable number, because it can be changed into a prime (690535441) 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 107 ways as a sum of consecutive naturals, for example, 18663102 + ... + 18663138.

Almost surely, 2^690535440 is an apocalyptic number.

690535440 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 690535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448137782).

690535440 is an abundant number, since it is smaller than the sum of its proper divisors (2205740124).

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

690535440 is a wasteful number, since it uses less digits than its factorization.

690535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 690535440 is about 26278.0410228769. The cubic root of 690535440 is about 883.8841053883.

It can be divided in two parts, 690 and 535440, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 690535440 in words is "six hundred ninety million, five hundred thirty-five thousand, four hundred forty".