861193620 has 360 divisors, whose sum is σ = 3313870560. Its totient is φ = 186157440.

The previous prime is 861193591. The next prime is 861193649. The reversal of 861193620 is 26391168.

861193620 is a `hidden beast` number, since 8 + 611 + 9 + 36 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (861193591) and next prime (861193649).

It is a super-2 number, since 2×861193620² = 1483308902257408800, 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 119 ways as a sum of consecutive naturals, for example, 1507935 + ... + 1508505.

It is an arithmetic number, because the mean of its divisors is an integer number (9205196).

Almost surely, 2^861193620 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 861193620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656935280).

861193620 is an abundant number, since it is smaller than the sum of its proper divisors (2452676940).

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

861193620 is a wasteful number, since it uses less digits than its factorization.

861193620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 861193620 is about 29346.1005927534. The cubic root of 861193620 is about 951.4082972479.

It can be divided in two parts, 861 and 193620, that added together give a 4-th power (194481 = 21⁴).

The spelling of 861193620 in words is "eight hundred sixty-one million, one hundred ninety-three thousand, six hundred twenty".