68927400 has 144 divisors (see below), whose sum is σ = 233941500. Its totient is φ = 18186240.

The previous prime is 68927393. The next prime is 68927407. The reversal of 68927400 is 472986.

It is an interprime number because it is at equal distance from previous prime (68927393) and next prime (68927407).

It can be written as a sum of positive squares in 6 ways, for example, as 32421636 + 36505764 = 5694^2 + 6042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68927407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268072 + ... + 268328.

Almost surely, 2^68927400 is an apocalyptic number.

68927400 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 68927400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116970750).

68927400 is an abundant number, since it is smaller than the sum of its proper divisors (165014100).

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

68927400 is a wasteful number, since it uses less digits than its factorization.

68927400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68927400 is about 8302.2527063442. The cubic root of 68927400 is about 410.0126904658.

The spelling of 68927400 in words is "sixty-eight million, nine hundred twenty-seven thousand, four hundred".