68990400 has 168 divisors, whose sum is σ = 251653040. Its totient is φ = 18385920.

The previous prime is 68990399. The next prime is 68990401. The reversal of 68990400 is 409986.

It is an interprime number because it is at equal distance from previous prime (68990399) and next prime (68990401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42402 + ... + 43998.

Almost surely, 2^68990400 is an apocalyptic number.

68990400 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 68990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125826520).

68990400 is an abundant number, since it is smaller than the sum of its proper divisors (182662640).

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

68990400 is a wasteful number, since it uses less digits than its factorization.

68990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68990400 is about 8306.0459907227. The cubic root of 68990400 is about 410.1375703330.

The spelling of 68990400 in words is "sixty-eight million, nine hundred ninety thousand, four hundred".