84961800 has 288 divisors, whose sum is σ = 356316480. Its totient is φ = 17625600.

The previous prime is 84961781. The next prime is 84961817. The reversal of 84961800 is 816948.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 138294 + ... + 138906.

It is an arithmetic number, because the mean of its divisors is an integer number (1237210).

Almost surely, 2^84961800 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 84961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178158240).

84961800 is an abundant number, since it is smaller than the sum of its proper divisors (271354680).

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

84961800 is a wasteful number, since it uses less digits than its factorization.

84961800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 84961800 is about 9217.4725386084. The cubic root of 84961800 is about 439.6170911136.

It can be divided in two parts, 8496 and 1800, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 84961800 in words is "eighty-four million, nine hundred sixty-one thousand, eight hundred".