697152960 has 224 divisors, whose sum is σ = 2810987520. Its totient is φ = 159335424.

The previous prime is 697152947. The next prime is 697152979. The reversal of 697152960 is 69251796.

It is a happy number.

697152960 is a `hidden beast` number, since 69 + 7 + 1 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×697152960⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54717 + ... + 66243.

Almost surely, 2^697152960 is an apocalyptic number.

697152960 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 697152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405493760).

697152960 is an abundant number, since it is smaller than the sum of its proper divisors (2113834560).

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

697152960 is a wasteful number, since it uses less digits than its factorization.

697152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 697152960 is about 26403.6542925406. The cubic root of 697152960 is about 886.6986050141.

The spelling of 697152960 in words is "six hundred ninety-seven million, one hundred fifty-two thousand, nine hundred sixty".