695409120 has 288 divisors, whose sum is σ = 2855623680. Its totient is φ = 150543360.

The previous prime is 695409079. The next prime is 695409149. The reversal of 695409120 is 21904596.

695409120 is a `hidden beast` number, since 6 + 9 + 540 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189705 + ... + 193335.

It is an arithmetic number, because the mean of its divisors is an integer number (9915360).

Almost surely, 2^695409120 is an apocalyptic number.

695409120 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 695409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427811840).

695409120 is an abundant number, since it is smaller than the sum of its proper divisors (2160214560).

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

695409120 is a wasteful number, since it uses less digits than its factorization.

695409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 695409120 is about 26370.6109144252. The cubic root of 695409120 is about 885.9586662263.

The spelling of 695409120 in words is "six hundred ninety-five million, four hundred nine thousand, one hundred twenty".