84290688 has 96 divisors (see below), whose sum is σ = 255387600. Its totient is φ = 26611200.

The previous prime is 84290663. The next prime is 84290729. The reversal of 84290688 is 88609248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19963 + ... + 23813.

Almost surely, 2^84290688 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 84290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127693800).

84290688 is an abundant number, since it is smaller than the sum of its proper divisors (171096912).

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

84290688 is a wasteful number, since it uses less digits than its factorization.

84290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 84290688 is about 9180.9960243974. The cubic root of 84290688 is about 438.4565203204.

The spelling of 84290688 in words is "eighty-four million, two hundred ninety thousand, six hundred eighty-eight".