64116360 has 320 divisors, whose sum is σ = 269723520. Its totient is φ = 13271040.

The previous prime is 64116347. The next prime is 64116373. The reversal of 64116360 is 6361146.

64116360 is a `hidden beast` number, since 641 + 16 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64116347) and next prime (64116373).

It is a super-2 number, since 2×64116360² = 8221815239299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249352 + ... + 249608.

It is an arithmetic number, because the mean of its divisors is an integer number (842886).

Almost surely, 2^64116360 is an apocalyptic number.

64116360 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 64116360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134861760).

64116360 is an abundant number, since it is smaller than the sum of its proper divisors (205607160).

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

64116360 is a wasteful number, since it uses less digits than its factorization.

64116360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64116360 is about 8007.2691974231. The cubic root of 64116360 is about 400.2422699003.

The spelling of 64116360 in words is "sixty-four million, one hundred sixteen thousand, three hundred sixty".