114332640 has 96 divisors (see below), whose sum is σ = 361773216. Its totient is φ = 30351360.

The previous prime is 114332597. The next prime is 114332653. The reversal of 114332640 is 46233411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×114332640⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114332640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149860 + ... + 150620.

It is an arithmetic number, because the mean of its divisors is an integer number (3768471).

Almost surely, 2^114332640 is an apocalyptic number.

114332640 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 114332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180886608).

114332640 is an abundant number, since it is smaller than the sum of its proper divisors (247440576).

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

114332640 is a wasteful number, since it uses less digits than its factorization.

114332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 114332640 is about 10692.6442005708. The cubic root of 114332640 is about 485.3519109608.

The spelling of 114332640 in words is "one hundred fourteen million, three hundred thirty-two thousand, six hundred forty".