68972400 has 540 divisors, whose sum is σ = 307627632. Its totient is φ = 14192640.

The previous prime is 68972399. The next prime is 68972429. The reversal of 68972400 is 427986.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998789 + ... + 2998811.

Almost surely, 2^68972400 is an apocalyptic number.

68972400 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 68972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153813816).

68972400 is an abundant number, since it is smaller than the sum of its proper divisors (238655232).

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

68972400 is a wasteful number, since it uses less digits than its factorization.

68972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

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

The square root of 68972400 is about 8304.9623719798. The cubic root of 68972400 is about 410.1018981312.

The spelling of 68972400 in words is "sixty-eight million, nine hundred seventy-two thousand, four hundred".