64097280 has 264 divisors, whose sum is σ = 241414992. Its totient is φ = 15630336.

The previous prime is 64097273. The next prime is 64097287. The reversal of 64097280 is 8279046.

64097280 = 64³ + 65³ + ... + 128³.

64097280 is a `hidden beast` number, since 640 + 9 + 7 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64097273) and next prime (64097287).

It is a super-2 number, since 2×64097280² = 8216922606796800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64097287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598987 + ... + 599093.

Almost surely, 2^64097280 is an apocalyptic number.

64097280 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 64097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120707496).

64097280 is an abundant number, since it is smaller than the sum of its proper divisors (177317712).

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

64097280 is a wasteful number, since it uses less digits than its factorization.

64097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

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

The square root of 64097280 is about 8006.0776913542. The cubic root of 64097280 is about 400.2025640688.

It can be divided in two parts, 6409 and 7280, that added together give a square (13689 = 117²).

The spelling of 64097280 in words is "sixty-four million, ninety-seven thousand, two hundred eighty".