94765140 has 288 divisors, whose sum is σ = 334623744. Its totient is φ = 22394880.

The previous prime is 94765133. The next prime is 94765213. The reversal of 94765140 is 4156749.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 94765095 and 94765104.

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, 2561202 + ... + 2561238.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^94765140 is an apocalyptic number.

94765140 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 94765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

94765140 is an abundant number, since it is smaller than the sum of its proper divisors (239858604).

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

94765140 is a wasteful number, since it uses less digits than its factorization.

94765140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 94765140 is about 9734.7388254642. The cubic root of 94765140 is about 455.9139380520.

94765140 divided by its sum of digits (36) gives a triangular number (2632365 = T₂₂₉₄).

The spelling of 94765140 in words is "ninety-four million, seven hundred sixty-five thousand, one hundred forty".