65397600 has 216 divisors, whose sum is σ = 238859712. Its totient is φ = 16819200.

The previous prime is 65397599. The next prime is 65397613. The reversal of 65397600 is 679356.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223054 + ... + 223346.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 2^65397600 is an apocalyptic number.

65397600 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 65397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

65397600 is an abundant number, since it is smaller than the sum of its proper divisors (173462112).

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

65397600 is a wasteful number, since it uses less digits than its factorization.

65397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 65397600 is about 8086.8782604909. The cubic root of 65397600 is about 402.8907256059.

The spelling of 65397600 in words is "sixty-five million, three hundred ninety-seven thousand, six hundred".