618896400 has 240 divisors, whose sum is σ = 2078343168. Its totient is φ = 157248000.

The previous prime is 618896393. The next prime is 618896413. The reversal of 618896400 is 4698816.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4724335 + ... + 4724465.

Almost surely, 2^618896400 is an apocalyptic number.

618896400 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 618896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039171584).

618896400 is an abundant number, since it is smaller than the sum of its proper divisors (1459446768).

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

618896400 is a wasteful number, since it uses less digits than its factorization.

618896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 618896400 is about 24877.6285043410. The cubic root of 618896400 is about 852.1956613823.

The spelling of 618896400 in words is "six hundred eighteen million, eight hundred ninety-six thousand, four hundred".