84896640 has 256 divisors, whose sum is σ = 319464000. Its totient is φ = 21307392.

The previous prime is 84896629. The next prime is 84896641. The reversal of 84896640 is 4669848.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84896641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993912 + ... + 4993928.

Almost surely, 2^84896640 is an apocalyptic number.

84896640 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 84896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159732000).

84896640 is an abundant number, since it is smaller than the sum of its proper divisors (234567360).

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

84896640 is an equidigital number, since it uses as much as digits as its factorization.

84896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 84896640 is about 9213.9372691592. The cubic root of 84896640 is about 439.5046767665.

It can be divided in two parts, 8489 and 6640, that added together give a square (15129 = 123²).

The spelling of 84896640 in words is "eighty-four million, eight hundred ninety-six thousand, six hundred forty".