706551552 has 288 divisors, whose sum is σ = 2531289600. Its totient is φ = 189775872.

The previous prime is 706551551. The next prime is 706551631. The reversal of 706551552 is 255155607.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (706551551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822099 + ... + 822957.

It is an arithmetic number, because the mean of its divisors is an integer number (8789200).

Almost surely, 2^706551552 is an apocalyptic number.

706551552 is a gapful number since it is divisible by the number (72) 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 706551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265644800).

706551552 is an abundant number, since it is smaller than the sum of its proper divisors (1824738048).

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

706551552 is a wasteful number, since it uses less digits than its factorization.

706551552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 706551552 is about 26581.0374515368. The cubic root of 706551552 is about 890.6654754348.

The spelling of 706551552 in words is "seven hundred six million, five hundred fifty-one thousand, five hundred fifty-two".