68987100 has 324 divisors, whose sum is σ = 263904984. Its totient is φ = 13789440.

The previous prime is 68987069. The next prime is 68987101. The reversal of 68987100 is 178986.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68987101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3630891 + ... + 3630909.

Almost surely, 2^68987100 is an apocalyptic number.

68987100 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 68987100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131952492).

68987100 is an abundant number, since it is smaller than the sum of its proper divisors (194917884).

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

68987100 is a wasteful number, since it uses less digits than its factorization.

68987100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 68987100 is about 8305.8473378699. The cubic root of 68987100 is about 410.1310308938.

Multiplying 68987100 by its sum of digits (39), we get a square (2690496900 = 51870²).

68987100 divided by its sum of digits (39) gives a square (1768900 = 1330²).

The spelling of 68987100 in words is "sixty-eight million, nine hundred eighty-seven thousand, one hundred".