84097440 has 336 divisors, whose sum is σ = 343744128. Its totient is φ = 19035648.

The previous prime is 84097417. The next prime is 84097457. The reversal of 84097440 is 4479048.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84097395 and 84097404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816429 + ... + 816531.

It is an arithmetic number, because the mean of its divisors is an integer number (1023048).

Almost surely, 2^84097440 is an apocalyptic number.

84097440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171872064).

84097440 is an abundant number, since it is smaller than the sum of its proper divisors (259646688).

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

84097440 is a wasteful number, since it uses less digits than its factorization.

84097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84097440 is about 9170.4656370328. The cubic root of 84097440 is about 438.1211899590.

The spelling of 84097440 in words is "eighty-four million, ninety-seven thousand, four hundred forty".