68987520 has 384 divisors, whose sum is σ = 286416000. Its totient is φ = 14966784.

The previous prime is 68987519. The next prime is 68987531. The reversal of 68987520 is 2578986.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169251 + ... + 1169309.

It is an arithmetic number, because the mean of its divisors is an integer number (745875).

Almost surely, 2^68987520 is an apocalyptic number.

68987520 is a gapful number since it is divisible by the number (60) 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 68987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

68987520 is an abundant number, since it is smaller than the sum of its proper divisors (217428480).

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

68987520 is a wasteful number, since it uses less digits than its factorization.

68987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 68987520 is about 8305.8726212241. The cubic root of 68987520 is about 410.1318631977.

It can be divided in two parts, 689 and 87520, that added together give a square (88209 = 297²).

The spelling of 68987520 in words is "sixty-eight million, nine hundred eighty-seven thousand, five hundred twenty".