861961152 has 112 divisors (see below), whose sum is σ = 2473382912. Its totient is φ = 263347200.

The previous prime is 861961103. The next prime is 861961157. The reversal of 861961152 is 251169168.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 861961152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861961157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375753 + ... + 378039.

It is an arithmetic number, because the mean of its divisors is an integer number (22083776).

Almost surely, 2^861961152 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 861961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236691456).

861961152 is an abundant number, since it is smaller than the sum of its proper divisors (1611421760).

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

861961152 is a wasteful number, since it uses less digits than its factorization.

861961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 861961152 is about 29359.1749202868. The cubic root of 861961152 is about 951.6908583602.

The spelling of 861961152 in words is "eight hundred sixty-one million, nine hundred sixty-one thousand, one hundred fifty-two".