68573736 has 384 divisors, whose sum is σ = 262656000. Its totient is φ = 16329600.

The previous prime is 68573731. The next prime is 68573737. The reversal of 68573736 is 63737586.

68573736 = T₄₅₆ + T₄₅₇ + ... + T₇₉₆.

68573736 is a `hidden beast` number, since 6 + 8 + 573 + 73 + 6 = 666.

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

Its product of digits (635040) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 68573691 and 68573700.

It is not an unprimeable number, because it can be changed into a prime (68573731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2212041 + ... + 2212071.

It is an arithmetic number, because the mean of its divisors is an integer number (684000).

Almost surely, 2^68573736 is an apocalyptic number.

68573736 is a gapful number since it is divisible by the number (66) 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 68573736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

68573736 is an abundant number, since it is smaller than the sum of its proper divisors (194082264).

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

68573736 is a wasteful number, since it uses less digits than its factorization.

68573736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 68573736 is about 8280.9260351726. The cubic root of 68573736 is about 409.3102342310.

The spelling of 68573736 in words is "sixty-eight million, five hundred seventy-three thousand, seven hundred thirty-six".