84879810 has 96 divisors (see below), whose sum is σ = 241853040. Its totient is φ = 20557824.

The previous prime is 84879797. The next prime is 84879833. The reversal of 84879810 is 1897848.

It can be written as a sum of positive squares in 8 ways, for example, as 66243321 + 18636489 = 8139^2 + 4317^2 .

It is a super-2 number, since 2×84879810² = 14409164291272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43414 + ... + 45326.

Almost surely, 2^84879810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84879810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120926520).

84879810 is an abundant number, since it is smaller than the sum of its proper divisors (156973230).

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

84879810 is a wasteful number, since it uses less digits than its factorization.

84879810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 84879810 is about 9213.0239335410. The cubic root of 84879810 is about 439.4756322226.

The spelling of 84879810 in words is "eighty-four million, eight hundred seventy-nine thousand, eight hundred ten".