861053760 has 448 divisors, whose sum is σ = 3628339200. Its totient is φ = 187951104.

The previous prime is 861053759. The next prime is 861053779. The reversal of 861053760 is 67350168.

861053760 is a `hidden beast` number, since 8 + 61 + 0 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×861053760² = 1482827155220275200, 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 63 ways as a sum of consecutive naturals, for example, 1390731 + ... + 1391349.

Almost surely, 2^861053760 is an apocalyptic number.

861053760 is a gapful number since it is divisible by the number (80) 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 861053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814169600).

861053760 is an abundant number, since it is smaller than the sum of its proper divisors (2767285440).

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

861053760 is a wasteful number, since it uses less digits than its factorization.

861053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 861053760 is about 29343.7175558926. The cubic root of 861053760 is about 951.3567907631.

The spelling of 861053760 in words is "eight hundred sixty-one million, fifty-three thousand, seven hundred sixty".