68461536 has 96 divisors (see below), whose sum is σ = 211171968. Its totient is φ = 19146240.

The previous prime is 68461529. The next prime is 68461553. The reversal of 68461536 is 63516486.

68461536 = T₃₅₃ + T₃₅₄ + ... + T₇₆₈.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×68461536² = 9373963822958592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 68461494 and 68461503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11235 + ... + 16221.

It is an arithmetic number, because the mean of its divisors is an integer number (2199708).

Almost surely, 2^68461536 is an apocalyptic number.

68461536 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 68461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105585984).

68461536 is an abundant number, since it is smaller than the sum of its proper divisors (142710432).

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

68461536 is a wasteful number, since it uses less digits than its factorization.

68461536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5016 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 68461536 is about 8274.1486571127. The cubic root of 68461536 is about 409.0868752554.

The spelling of 68461536 in words is "sixty-eight million, four hundred sixty-one thousand, five hundred thirty-six".