701034048 has 224 divisors, whose sum is σ = 2422062720. Its totient is φ = 196024320.

The previous prime is 701034017. The next prime is 701034067. The reversal of 701034048 is 840430107.

It is a super-3 number, since 3×701034048³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245686 + ... + 248522.

It is an arithmetic number, because the mean of its divisors is an integer number (10812780).

Almost surely, 2^701034048 is an apocalyptic number.

701034048 is a gapful number since it is divisible by the number (78) 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 701034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211031360).

701034048 is an abundant number, since it is smaller than the sum of its proper divisors (1721028672).

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

701034048 is a wasteful number, since it uses less digits than its factorization.

701034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 701034048 is about 26477.0475695460. The cubic root of 701034048 is about 888.3409939495.

The spelling of 701034048 in words is "seven hundred one million, thirty-four thousand, forty-eight".