84251520 has 96 divisors (see below), whose sum is σ = 290950920. Its totient is φ = 22465536.

The previous prime is 84251513. The next prime is 84251527. The reversal of 84251520 is 2515248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84251513) and next prime (84251527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84251527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554 + ... + 13073.

Almost surely, 2^84251520 is an apocalyptic number.

84251520 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 84251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145475460).

84251520 is an abundant number, since it is smaller than the sum of its proper divisors (206699400).

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

84251520 is a wasteful number, since it uses less digits than its factorization.

84251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14652 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 84251520 is about 9178.8626746455. The cubic root of 84251520 is about 438.3885961479.

Adding to 84251520 its reverse (2515248), we get a palindrome (86766768).

It can be divided in two parts, 8 and 4251520, that added together give a cube (4251528 = 162³).

The spelling of 84251520 in words is "eighty-four million, two hundred fifty-one thousand, five hundred twenty".