916601400 has 384 divisors, whose sum is σ = 3712262400. Its totient is φ = 204940800.

The previous prime is 916601381. The next prime is 916601417. The reversal of 916601400 is 4106619.

916601400 is a `hidden beast` number, since 9 + 16 + 601 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771607 + ... + 772793.

It is an arithmetic number, because the mean of its divisors is an integer number (9667350).

Almost surely, 2^916601400 is an apocalyptic number.

916601400 is a gapful number since it is divisible by the number (90) 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 916601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

916601400 is an abundant number, since it is smaller than the sum of its proper divisors (2795661000).

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

916601400 is a wasteful number, since it uses less digits than its factorization.

916601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 916601400 is about 30275.4256782626. The cubic root of 916601400 is about 971.3897251314.

The spelling of 916601400 in words is "nine hundred sixteen million, six hundred one thousand, four hundred".