861962400 has 216 divisors, whose sum is σ = 3273657660. Its totient is φ = 212152320.

The previous prime is 861962369. The next prime is 861962411. The reversal of 861962400 is 4269168.

It can be written as a sum of positive squares in 6 ways, for example, as 55175184 + 806787216 = 7428^2 + 28404^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88996 + ... + 98204.

Almost surely, 2^861962400 is an apocalyptic number.

861962400 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 861962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636828830).

861962400 is an abundant number, since it is smaller than the sum of its proper divisors (2411695260).

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

861962400 is a wasteful number, since it uses less digits than its factorization.

861962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 861962400 is about 29359.1961742824. The cubic root of 861962400 is about 951.6913176653.

The spelling of 861962400 in words is "eight hundred sixty-one million, nine hundred sixty-two thousand, four hundred".