84978936 has 256 divisors, whose sum is σ = 291840000. Its totient is φ = 22861440.

The previous prime is 84978913. The next prime is 84978953. The reversal of 84978936 is 63987948.

84978936 = 984² + 985² + ... + 1064².

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2296710 + ... + 2296746.

It is an arithmetic number, because the mean of its divisors is an integer number (1140000).

Almost surely, 2^84978936 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 84978936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145920000).

84978936 is an abundant number, since it is smaller than the sum of its proper divisors (206861064).

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

84978936 is a wasteful number, since it uses less digits than its factorization.

84978936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 84978936 is about 9218.4020307209. The cubic root of 84978936 is about 439.6466446779.

The spelling of 84978936 in words is "eighty-four million, nine hundred seventy-eight thousand, nine hundred thirty-six".