612109440 has 128 divisors (see below), whose sum is σ = 2167948800. Its totient is φ = 163224576.

The previous prime is 612109423. The next prime is 612109457. The reversal of 612109440 is 44901216.

612109440 is a `hidden beast` number, since 6 + 1 + 210 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (612109423) and next prime (612109457).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×612109440² = 749355933074227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 432 + ... + 34991.

It is an arithmetic number, because the mean of its divisors is an integer number (16937100).

Almost surely, 2^612109440 is an apocalyptic number.

612109440 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 612109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083974400).

612109440 is an abundant number, since it is smaller than the sum of its proper divisors (1555839360).

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

612109440 is a wasteful number, since it uses less digits than its factorization.

612109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35451 (or 35433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 612109440 is about 24740.8455797291. The cubic root of 612109440 is about 849.0690800213.

The spelling of 612109440 in words is "six hundred twelve million, one hundred nine thousand, four hundred forty".