65049600 has 396 divisors, whose sum is σ = 270072992. Its totient is φ = 13516800.

The previous prime is 65049571. The next prime is 65049623. The reversal of 65049600 is 694056.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5913595 + ... + 5913605.

Almost surely, 2^65049600 is an apocalyptic number.

65049600 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 65049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036496).

65049600 is an abundant number, since it is smaller than the sum of its proper divisors (205023392).

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

65049600 is a wasteful number, since it uses less digits than its factorization.

65049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 65049600 is about 8065.3332231223. Note that the first 3 decimals coincide. The cubic root of 65049600 is about 402.1748206245.

The spelling of 65049600 in words is "sixty-five million, forty-nine thousand, six hundred".