705623672 has 64 divisors (see below), whose sum is σ = 1509396000. Its totient is φ = 308385792.

The previous prime is 705623671. The next prime is 705623689. The reversal of 705623672 is 276326507.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705623671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332888 + ... + 335000.

Almost surely, 2^705623672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705623672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754698000).

705623672 is an abundant number, since it is smaller than the sum of its proper divisors (803772328).

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

705623672 is a wasteful number, since it uses less digits than its factorization.

705623672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 705623672 is about 26563.5779216581. The cubic root of 705623672 is about 890.2754153305.

The spelling of 705623672 in words is "seven hundred five million, six hundred twenty-three thousand, six hundred seventy-two".