84961600 has 42 divisors (see below), whose sum is σ = 209062574. Its totient is φ = 33984000.

The previous prime is 84961579. The next prime is 84961627. The reversal of 84961600 is 616948.

It can be written as a sum of positive squares in 3 ways, for example, as 15872256 + 69089344 = 3984^2 + 8312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24951 + ... + 28150.

Almost surely, 2^84961600 is an apocalyptic number.

84961600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84961600 is an abundant number, since it is smaller than the sum of its proper divisors (124100974).

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

84961600 is a wasteful number, since it uses less digits than its factorization.

84961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53123 (or 53108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 84961600 is about 9217.4616896410. The cubic root of 84961600 is about 439.6167461606.

The spelling of 84961600 in words is "eighty-four million, nine hundred sixty-one thousand, six hundred".