861262416 has 480 divisors, whose sum is σ = 3155155200. Its totient is φ = 223534080.

The previous prime is 861262397. The next prime is 861262433. The reversal of 861262416 is 614262168.

861262416 is a `hidden beast` number, since 8 + 6 + 12 + 624 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14119026 + ... + 14119086.

It is an arithmetic number, because the mean of its divisors is an integer number (6573240).

Almost surely, 2^861262416 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 861262416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577577600).

861262416 is an abundant number, since it is smaller than the sum of its proper divisors (2293892784).

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

861262416 is a wasteful number, since it uses less digits than its factorization.

861262416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 861262416 is about 29347.2727182612. The cubic root of 861262416 is about 951.4336308240.

The spelling of 861262416 in words is "eight hundred sixty-one million, two hundred sixty-two thousand, four hundred sixteen".