701890560 has 432 divisors, whose sum is σ = 2944390176. Its totient is φ = 150994944.

The previous prime is 701890559. The next prime is 701890597. The reversal of 701890560 is 65098107.

701890560 is a `hidden beast` number, since 7 + 0 + 1 + 8 + 90 + 560 = 666.

It is a super-2 number, since 2×701890560² = 985300716434227200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 41287672 + ... + 41287688.

It is an arithmetic number, because the mean of its divisors is an integer number (6815718).

Almost surely, 2^701890560 is an apocalyptic number.

701890560 is a gapful number since it is divisible by the number (70) 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 701890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472195088).

701890560 is an abundant number, since it is smaller than the sum of its proper divisors (2242499616).

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

701890560 is an equidigital number, since it uses as much as digits as its factorization.

701890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 701890560 is about 26493.2172451743. The cubic root of 701890560 is about 888.7026335679.

The spelling of 701890560 in words is "seven hundred one million, eight hundred ninety thousand, five hundred sixty".