84929040 has 320 divisors, whose sum is σ = 344977920. Its totient is φ = 18800640.

The previous prime is 84929011. The next prime is 84929077. The reversal of 84929040 is 4092948.

It is a happy number.

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 = 84928986 and 84929004.

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, 619852 + ... + 619988.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056).

Almost surely, 2^84929040 is an apocalyptic number.

84929040 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 84929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

84929040 is an abundant number, since it is smaller than the sum of its proper divisors (260048880).

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

84929040 is a wasteful number, since it uses less digits than its factorization.

84929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84929040 is about 9215.6953074632. The cubic root of 84929040 is about 439.5605805902.

The spelling of 84929040 in words is "eighty-four million, nine hundred twenty-nine thousand, forty".