116966400 has 132 divisors (see below), whose sum is σ = 386833872. Its totient is φ = 31170560.

The previous prime is 116966371. The next prime is 116966411. The reversal of 116966400 is 4669611.

It is a super-2 number, since 2×116966400² = 27362277457920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76039 + ... + 77561.

Almost surely, 2^116966400 is an apocalyptic number.

116966400 is a gapful number since it is divisible by the number (10) 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 116966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193416936).

116966400 is an abundant number, since it is smaller than the sum of its proper divisors (269867472).

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

116966400 is a wasteful number, since it uses less digits than its factorization.

116966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 116966400 is about 10815.1005543176. The cubic root of 116966400 is about 489.0505005953.

The spelling of 116966400 in words is "one hundred sixteen million, nine hundred sixty-six thousand, four hundred".