68957460 has 384 divisors, whose sum is σ = 270950400. Its totient is φ = 14307840.

The previous prime is 68957437. The next prime is 68957501. The reversal of 68957460 is 6475986.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 1467157 + ... + 1467203.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^68957460 is an apocalyptic number.

68957460 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 68957460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

68957460 is an abundant number, since it is smaller than the sum of its proper divisors (201992940).

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

68957460 is a wasteful number, since it uses less digits than its factorization.

68957460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68957460 is about 8304.0628610337. The cubic root of 68957460 is about 410.0722854901.

The spelling of 68957460 in words is "sixty-eight million, nine hundred fifty-seven thousand, four hundred sixty".