84912720 has 160 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 21504000.

The previous prime is 84912683. The next prime is 84912727. The reversal of 84912720 is 2721948.

It is a happy number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84912727) 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, 751384 + ... + 751496.

Almost surely, 2^84912720 is an apocalyptic number.

84912720 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 84912720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

84912720 is an abundant number, since it is smaller than the sum of its proper divisors (191926704).

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

84912720 is a wasteful number, since it uses less digits than its factorization.

84912720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 84912720 is about 9214.8098189816. The cubic root of 84912720 is about 439.5324234047.

It can be divided in two parts, 8491 and 2720, that added together give a palindrome (11211).

The spelling of 84912720 in words is "eighty-four million, nine hundred twelve thousand, seven hundred twenty".